8th Class Mathematics Mensuration Question Bank

done Mensuration Total Questions - 45

• question_answer1)
  The area of a rhombus is \[28\text{ }c{{m}^{2}}\] and one of its diagonals is 4 cm. Find its perimeter.
  A)
   \[4\sqrt{53}\,\,cm\]                       done clear
  B)
   \[36\,cm\] done clear
  C)
   \[2\sqrt{53}\,cm\]          done clear
  D)
          \[44\,cm\] done clear
  View Solution play_arrow

• question_answer2)
  The area of a trapezium is \[28\text{ }c{{m}^{2}}\]and one of its parallel sides is\[6\text{ }cm\]. If its altitude is \[4\text{ }cm,\] find its other parallel side.             
  A)
   \[4\text{ }cm\]                 done clear
  B)
          \[\text{8 }cm\] done clear
  C)
   \[\text{6 }cm\]                 done clear
  D)
          \[\text{10 }cm\] done clear
  View Solution play_arrow

• question_answer3)
  The perimeter of a trapezium is \[\text{52 }cm\] and its non-parallel sides are each equal to \[10\text{ }cm\]. If its altitude is 8 cm, what is its area?
  A)
   \[128\,\,c{{m}^{2}}\]                                     done clear
  B)
   \[112\,\,c{{m}^{2}}\]     done clear
  C)
          \[118\,\,c{{m}^{2}}\]                     done clear
  D)
          \[124\,\,c{{m}^{2}}\]     done clear
  View Solution play_arrow

• question_answer4)
  A man bought a rectangular field of length \[144\text{ }m\] and width \[64\text{ }m\]. In exchange for this field he wanted to buy a square field of the same area. What would the side of the square field be?
  A)
   \[104\text{ }m\]                              done clear
  B)
   \[208\text{ }m\]              done clear
  C)
          \[96\,m\]            done clear
  D)
          \[416\,m\] done clear
  View Solution play_arrow

• question_answer5)
  The area of a parallelogram is \[120\text{ }c{{m}^{2}}\]and its altitude is 10 cm. Find the length of the base.
  A)
   \[24\,cm\]                          done clear
  B)
   \[12\,cm\]          done clear
  C)
   \[8\,cm\]            done clear
  D)
          \[4\,cm\] done clear
  View Solution play_arrow

• question_answer6)
  What is the area of an isosceles triangle having base 'Y' cm and one side 'Y' cm?
  A)
   \[\frac{x}{2}\sqrt{{{y}^{2}}+\frac{{{x}^{2}}}{4}}c{{m}^{2}}\] done clear
  B)
   \[\frac{x}{2}\sqrt{\frac{4{{y}^{2}}-{{x}^{2}}}{4}}c{{m}^{2}}\] done clear
  C)
   \[\frac{{{x}^{2}}-{{y}^{2}}}{4}c{{m}^{2}}\] done clear
  D)
   \[\frac{{{x}^{2}}+{{y}^{2}}}{4}c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer7)
  What is the length of the diagonal of a square whose area is\[16900\text{ }{{m}^{2}}\]?
  A)
   \[130\,m\]                         done clear
  B)
   \[130\sqrt{2}\,m\]          done clear
  C)
          \[169\,m\]         done clear
  D)
          \[144\,m\]                         done clear
  View Solution play_arrow

• question_answer8)
  The sides of a triangle are \[3\text{ }cm,\text{ }5\text{ }cm\] and \[\text{4 }cm\]. What is its area?
  A)
   \[6\,\,c{{m}^{2}}\]                          done clear
  B)
   \[75\,\,c{{m}^{2}}\]       done clear
  C)
          \[5\sqrt{2}\,\,c{{m}^{2}}\]          done clear
  D)
          \[10\,\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer9)
  The Lase of an isosceles right triangle is\[30\text{ }cm\] Find its area.
  A)
   \[225\,c{{m}^{2}}\]                        done clear
  B)
   \[225\sqrt{3}\,c{{m}^{2}}\]         done clear
  C)
   \[5\sqrt{2}\,c{{m}^{2}}\]             done clear
  D)
          \[6\sqrt{3}\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer10)
  The sides of a triangle are \[16\text{ }cm,\] \[30\text{ }cm\] and\[34\text{ }cm\]. What is its area?
  A)
   \[120\,c{{m}^{2}}\]                        done clear
  B)
   \[260\,c{{m}^{2}}\]        done clear
  C)
   \[240\,c{{m}^{2}}\]        done clear
  D)
          \[272\,c{{m}^{2}}\]                        done clear
  View Solution play_arrow

• question_answer11)
  The adjacent sides of a parallelogram are \[8\text{ }cm\] and\[9\text{ }cm\]. The diagonahnining the ends of these sides is\[13\text{ }cm\]. Calculate the area of the parallelogram.
  A)
   \[72\,c{{m}^{2}}\]                           done clear
  B)
   \[12\sqrt{35}\,c{{m}^{2}}\]         done clear
  C)
          \[24\sqrt{35}\,c{{m}^{2}}\]   done clear
  D)
          \[150\,c{{m}^{2}}\]                        done clear
  View Solution play_arrow

• question_answer12)
  The sides of a triangle are \[11\text{ }cm,\text{ }15\text{ }cm\]and\[16\text{ }cm\]. What is the measure of the altitude to the largest side?
  A)
   \[30\sqrt{7}\,cm\]                          done clear
  B)
   \[30\,cm\]          done clear
  C)
   \[\frac{15\sqrt{7}}{4}\,cm\]       done clear
  D)
          \[\frac{15\sqrt{7}}{2}\,cm\] done clear
  View Solution play_arrow

• question_answer13)
  The perimeter of a triangular field is \[144\text{ }m\] and the ratio of its sides is\[3:4:5\]. What is the area of the field?
  A)
   \[864\,{{m}^{2}}\]                          done clear
  B)
   \[468\,{{m}^{2}}\]          done clear
  C)
          \[824\,{{m}^{2}}\]          done clear
  D)
          \[486\,{{m}^{2}}\]          done clear
  View Solution play_arrow

• question_answer14)
  A rectangular field has its length and breadth in the ratio \[5:3\]. Its area is \[3.75\]hectares. Find the cost of fencing it at Rs.5 per metre.
  A)
   \[Rs.\,400\]                                       done clear
  B)
   \[Rs.\,4000\]     done clear
  C)
          \[Rs.\,1000\]                     done clear
  D)
          \[Rs.\,500\] done clear
  View Solution play_arrow

• question_answer15)
  What is the percentage change in the area of a rectangle obtained by decreasing its length and increasing its breadth by 5%?
  A)
   \[2.5%\]increase done clear
  B)
   \[0.25%\] increase done clear
  C)
   \[0.25%\]decrease done clear
  D)
   \[2.5%\] decrease done clear
  View Solution play_arrow

• question_answer16)
  Find the area of the sector of a circle, whose radius is 6 m when the angle at the centre is\[{{42}^{o}}\].
  A)
   \[13.2\,{{m}^{2}}\]   done clear
  B)
   \[14.2\,{{m}^{2}}\]         done clear
  C)
   \[13.4\,{{m}^{2}}\]         done clear
  D)
          \[14.4\,{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer17)
  lf the radius of a circle is \[\frac{7}{\sqrt{\pi }}cm,\] what is the area of the circle?
  A)
   \[154\,c{{m}^{2}}\]                        done clear
  B)
   \[\frac{49}{\pi }\,c{{m}^{2}}\]    done clear
  C)
          \[22\,c{{m}^{2}}\]           done clear
  D)
          \[49\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer18)
  Find the area of a segment of a circle of radius \[21\text{ }cm\] if the arc of the segment has a measure of \[{{60}^{o}}\]. (Take \[\sqrt{3}=1.73\])
  A)
   \[45.27\,c{{m}^{2}}\]                     done clear
  B)
   \[40.8\,c{{m}^{2}}\]       done clear
  C)
          \[40.27\,c{{m}^{2}}\]    done clear
  D)
          \[42.07\,c{{m}^{2}}\]     done clear
  View Solution play_arrow

• question_answer19)
  An aquarium is in the form of a cuboid whose external measures are\[80\text{ }cm\times 30\text{ }cm\times 40\text{ }cm\]The base, side faces and back face are to be covered with a coloured paper. Find the area of the paper needed.
  A)
   \[2000\,c{{m}^{2}}\]     done clear
  B)
   \[8000\,c{{m}^{2}}\]      done clear
  C)
          \[3000\,c{{m}^{2}}\]     done clear
  D)
          \[1000\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer20)
  A rectangular piece of paper \[11\text{ }cm\times 4\,cm\] is folded without overlapping to make a cylinder of height\[4\text{ }cm\]. Find the volume of the cylinder.
  A)
   \[38.5\,c{{m}^{3}}\]                       done clear
  B)
   \[40.5\,c{{m}^{3}}\]       done clear
  C)
   \[41.5\,c{{m}^{3}}\]       done clear
  D)
          \[42.5\,c{{m}^{3}}\] done clear
  View Solution play_arrow

• question_answer21)
  In a building, there are 24 cylindrical pillars. The radius of each pillar is \[28\text{ }cm\] and height is\[4\text{ }m\]. Find the total cost of painting the curved surface area of all pillars at the rate of Rs.8 per \[{{m}^{2}}\].
  A)
   \[Rs.1352.68\] done clear
  B)
   \[Rs.1351.68\] done clear
  C)
   \[Rs.1353.68\] done clear
  D)
   \[Rs.1340.68\] done clear
  View Solution play_arrow

• question_answer22)
  A sector of \[{{120}^{o}}\] cut out from a circle has an area of \[9\frac{3}{7}\,sq.\,cm\]. What is the radius of the circle?
  A)
   \[3\,cm\]                            done clear
  B)
   \[2.5\,cm\]        done clear
  C)
          \[3.5\,cm\]        done clear
  D)
          \[3.6\,cm\]                        done clear
  View Solution play_arrow

• question_answer23)
  Find the radius of the cylinder whose lateral surface area is \[704\text{ }c{{m}^{2}}\]and height is\[8\text{ }cm\].
  A)
   \[6\,cm\]                            done clear
  B)
   \[4\,cm\]            done clear
  C)
   \[8\,cm\]            done clear
  D)
          \[14\,cm\] done clear
  View Solution play_arrow

• question_answer24)
  In the figure given, RSTV is a square inscribed in a circle with centre O and radius V. What is the total area of unshaded region?
  A)
           \[{{r}^{2}}(\pi -2)\,sq.\,units\] done clear
  B)
                   \[2r(2-\pi )\,sq.\,units\] done clear
  C)
                   \[\pi ({{r}^{2}}-2)\,sq.\,units\] done clear
  D)
                   \[(\pi {{r}^{2}}-8r)sq.\,units\] done clear
  View Solution play_arrow

• question_answer25)
  The dimensions of a hall are \[40\text{ }m,\text{ }25\text{ }m\] and\[20\text{ }m\]. If each person requires 200 cubic metres of space, how many persons can be accommodated in the hall?
  A)
   \[120\]                                 done clear
  B)
   \[150\]                 done clear
  C)
   \[140\]                 done clear
  D)
          \[100\] done clear
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• question_answer26)
  Three cylinders each of height \[16\text{ }cm\] and radius of base \[\text{4 }cm\] are placed on a plane so that each cylinder touches the other two. What is the volume of the region enclosed between the three cylinders?
  A)
   \[98\,\left( 4\sqrt{3}-\pi  \right)\,c{{m}^{3}}\] done clear
  B)
   \[98\,\left( 2\sqrt{3}-\pi  \right)\,c{{m}^{3}}\] done clear
  C)
   \[98\,\left( \sqrt{3}-\pi  \right)\,c{{m}^{3}}\] done clear
  D)
   \[128\,\left( 2\sqrt{3}-\pi  \right)\,c{{m}^{3}}\] done clear
  View Solution play_arrow

• question_answer27)
  From a cuboid measuring \[7\text{ }cm\] by \[8\text{ }cm\] by \[9\text{ }cm,\] a cube of side \[5\text{ }cm\] is cut. What is the volume of the remaining cuboid?
  A)
   \[397\,c{{m}^{3}}\] done clear
  B)
                          \[389\,c{{m}^{3}}\]        done clear
  C)
          \[398\,c{{m}^{3}}\]        done clear
  D)
          \[379\,c{{m}^{3}}\] done clear
  View Solution play_arrow

• question_answer28)
  A stone of volume \[36\text{ }c{{m}^{3}}\]is placed in a rectangular tank measuring \[8\text{ }cm\] by \[6\text{ }cm\] by \[\text{5 }cm\]. A student wants to fill the tank with water to a height of \[\text{4 }cm\]. What is the volume of water needed?
  A)
   \[\text{218 }c{{m}^{3}}\]                             done clear
  B)
   \[\text{156 }c{{m}^{3}}\]             done clear
  C)
   \[\text{228 }c{{m}^{3}}\]             done clear
  D)
          \[\text{192 }c{{m}^{3}}\]                                             done clear
  View Solution play_arrow

• question_answer29)
  An empty tank was \[\frac{2}{5}\] full after \[1.5\,l\] of water was poured in it. The base area of the tank was\[250\text{ }c{{m}^{2}}\]. What was the height of the tank?
  A)
   \[15\,cm\]                          done clear
  B)
   \[5\,cm\]            done clear
  C)
   \[4\,cm\]            done clear
  D)
          \[8\,cm\] done clear
  View Solution play_arrow

• question_answer30)
  A cuboid measuring \[20\,cm\] by \[10\,cm\] by \[4\,cm\] is constructed using \[2\,cm\] cubes. How many cubes were needed?
  A)
   \[200\]                                 done clear
  B)
   \[300\]                 done clear
  C)
          \[100\]                 done clear
  D)
          \[150\]                 done clear
  View Solution play_arrow

• question_answer31)
  What is the volume of a cylindrical container with base radius \[5\text{ }cm\] and height\[20\text{ }cm\]? (Take \[n=3.14\].)
  A)
   \[157\,l\]                            done clear
  B)
   \[1.57\,l\]           done clear
  C)
          \[1570\,l\]          done clear
  D)
          \[15.7\,l\]                           done clear
  View Solution play_arrow

• question_answer32)
  What is the height of a cuboid of volume \[216\text{ }c{{m}^{3}}\]if its length and breadth measure \[8\text{ }cm\] and \[\text{6 }cm\]?
  A)
   \[4.5\,m\]                          done clear
  B)
   \[6\,m\]                              done clear
  C)
   \[4.8\,m\]          done clear
  D)
          \[9\,m\] done clear
  View Solution play_arrow

• question_answer33)
  A tank with a square base has a volume of \[384\text{ }c{{m}^{3}}.\] If its height is \[6\text{ }cm,\] find the length of the side of the square base.
  A)
   \[\text{10 }cm\]                              done clear
  B)
   \[\text{8 }cm\] done clear
  C)
          \[\text{12 }cm\]              done clear
  D)
          \[\text{6 }cm\] done clear
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• question_answer34)
  In the figure given, ABCD is a parallelogram and CDEF is a rectangle. What is the total area of the figure?
  A)
   \[35\,c{{m}^{2}}\]                           done clear
  B)
   \[30\,c{{m}^{2}}\]           done clear
  C)
          \[25\,c{{m}^{2}}\]           done clear
  D)
          \[20\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer35)
  What is the area of the shaded region in the following figure?
  A)
   \[51.33\,c{{m}^{2}}\]    done clear
  B)
   \[102.7\,c{{m}^{2}}\] done clear
  C)
   \[205.34\,c{{m}^{2}}\]   done clear
  D)
   \[108.6\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer36)
  If the areas of three adjacent faces of a rectangular block are in the ratio of \[2:3:4\] and its volume is \[9000\text{ }c{{m}^{3}},\] what is the length of the shortest side?
  A)
   \[10\,cm\]          done clear
  B)
          \[15\,cm\]          done clear
  C)
   \[20\,cm\]          done clear
  D)
          \[30\,cm\]                          done clear
  View Solution play_arrow

• question_answer37)
  Two cylinders of equal volume have their heights in the ratio \[2:1\] .What is the ratio of their radii?
  A)
   \[2:1\]                                  done clear
  B)
   \[1:2\]                  done clear
  C)
   \[\sqrt{2}:1\]                    done clear
  D)
          \[1:\sqrt{2}\]                    done clear
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• question_answer38)
  A well is to be dug \[20\text{ }m\] deep, \[2.25\text{ }m\] inside diameter, with a brick lining of \[0.35m\]thickness. What is the amount of brick work done?
  A)
   \[14.75\,{{m}^{3}}\]                       done clear
  B)
   \[57.2\,{{m}^{3}}\]         done clear
  C)
          \[136.75\,{{m}^{3}}\]    done clear
  D)
          \[572\,{{m}^{3}}\] done clear
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• question_answer39)
  A rectangular sheet of paper, \[36\text{ }cm\times 22\text{ }cm,\]is rolled along its length to form a cylinder. Find the volume of the cylinder so formed.
  A)
   \[2268\,c{{m}^{3}}\]                      done clear
  B)
   \[226.8\,c{{m}^{3}}\]     done clear
  C)
   \[226\,c{{m}^{3}}\]        done clear
  D)
          \[23.4\,c{{m}^{3}}\] done clear
  View Solution play_arrow

• question_answer40)
  A wooden box (open at the top) of thickness \[0.5\text{ }cm,\] length \[21\text{ }cm,\] width \[11\text{ }cm\] and height \[\text{6 }cm\] is painted on the inside. The expense for painting is \[Rs.\,70\]. What is the rate of painting per square centimetre?
  A)
   \[Rs.\,0.7\]                                        done clear
  B)
   \[Rs.\,0.5\]        done clear
  C)
   \[Rs.\,0.1\]           done clear
  D)
          \[Rs.\,0.2\]                        done clear
  View Solution play_arrow

• question_answer41)
  If each edge of a cube is increased by \[25%,\] what is the percentage increase in its surface area?
  A)
   \[25%,\]                              done clear
  B)
   \[48.75%\]         done clear
  C)
          \[50%\]               done clear
  D)
          \[56.25%\] done clear
  View Solution play_arrow

• question_answer42)
  How many cubes of side \[4\text{ }cm\] can fill a rectangular box measuring \[60\text{ }cm\] by \[40\text{ }cm\] by\[24\text{ }cm\]?
  A)
   \[900\]                                 done clear
  B)
   \[90\]                   done clear
  C)
   \[3600\]              done clear
  D)
          \[600\]                 done clear
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• question_answer43)
  A pit \[10\text{ }m\] long and \[2\text{ }m\] wide is filled with \[4.8\text{ }{{m}^{3}}\]of sand. What is the depth of the pit?
  A)
   \[14\,cm\]                          done clear
  B)
   \[2.4\,cm\]        done clear
  C)
          \[24\,cm\]                 done clear
  D)
          \[12\,cm\]                          done clear
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• question_answer44)
  The capacity of a cup is\[300\text{ }ml\]. The capacity of a jug is twice that of a cup. What is the capacity of 3 cups and 3jugs?
  A)
   \[2.7\,l\]                             done clear
  B)
   \[2700\,l\]          done clear
  C)
          \[27\,l\]               done clear
  D)
          \[270\,l\] done clear
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• question_answer45)
  The volume of a cube is\[512\text{ }c{{m}^{3}}\]. After a smaller cube is out off from it, its volume is \[448\,c{{m}^{3}}\]. What is the length of each side of the smaller cube?
  A)
   \[6\,cm\]                            done clear
  B)
   \[7\,cm\]            done clear
  C)
          \[9\,cm\]            done clear
  D)
          \[4\,cm\] done clear
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