8th Class Mental Ability Mensuration Question Bank

done Mensuration Total Questions - 14

• question_answer1)
  A polyhedron has 6 vertices and 12 edges. It is a
  A)
  tetrahedron       done clear
  B)
                    octahedron done clear
  C)
  icosahedron         done clear
  D)
        dodecahedron done clear
  E)
  None of these done clear
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• question_answer2)
  A room of the hall is such that the ratio of the height of the room to its semi perimeter is \[\mathbf{6}:\mathbf{10}\] and the cost of wall paper to cover the walls of the room is Rs. 1700, when the width of the paper is 100 cm at the rate of Rs. \[\mathbf{10}\text{ }\mathbf{per}\text{ }\mathbf{mete}{{\mathbf{r}}^{\mathbf{2}}}\], except the door and window whose area is \[\mathbf{40}\text{ }{{\mathbf{m}}^{\mathbf{2}}}\]. The height of the room is:
  A)
  \[2\sqrt{6}~m\]                 done clear
  B)
                    \[6\sqrt{1.75}~m\] done clear
  C)
  \[4\sqrt{6}~m\]                done clear
  D)
         \[5~\sqrt{6}\,m\] done clear
  E)
  None of these done clear
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• question_answer3)
  An ant is moving around a few food pieces of different shapes scattered on the floor. For which food-piece would the ant have to take a longer round?
  A)
  Food Piece     done clear
  B)
         Food Piece (b) done clear
  C)
  Food Piece      done clear
  D)
        Food Pieces and (b) done clear
  E)
  None of these done clear
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• question_answer4)
  A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area \[1080\,{{m}^{2}}\]? (If required you can split the tiles in whatever way you want to fill up the corners).
  A)
  30,000                done clear
  B)
         40,000 done clear
  C)
  45,000   done clear
  D)
        60,000 done clear
  E)
  None of these done clear
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• question_answer5)
  A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
  A)
  \[720\,{{m}^{3}}\]               done clear
  B)
        \[900\,{{m}^{3}}\] done clear
  C)
  \[1200\,{{m}^{3}}\]   done clear
  D)
        \[1800\,{{m}^{3}}\] done clear
  E)
  None of these done clear
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• question_answer6)
  A tool is made up of a cone on top of a cylinder as shown in the figure below. The cylinder has a height of 15 cm and a radius of 5 cm. The volume of the cone is \[100\,\pi \,c{{m}^{3}}\]. If O is the vertex of the cone and AB is the diameter of the base of the cone and C is its centre. Points O, A, B and C are in the same plane. Calculate the lateral surface area of the tool.
  A)
  \[675.714\,c{{m}^{2}}\]    done clear
  B)
        \[685.4\,c{{m}^{2}}\] done clear
  C)
  \[695.4\,c{{m}^{2}}\]          done clear
  D)
         \[775.4\,c{{m}^{2}}\] done clear
  E)
  None of these done clear
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• question_answer7)
  The external diameter of an iron pipe is 25 cm and its length is 20 cm. If the thickness of the pipe is 1 cm, find the total surface area of the pipe.
  A)
  \[3267\,c{{m}^{2}}\]            done clear
  B)
        \[3384\,c{{m}^{2}}\] done clear
  C)
  \[3224\,c{{m}^{2}}\]            done clear
  D)
        \[3168\,c{{m}^{2}}\] done clear
  E)
  None of these done clear
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• question_answer8)
  The length of a cylindrical metallic tube is one meter. Its thickness is 1 cm and its internal diametre is 12 cm. Find the weight of the tube if the density of the metal is 7.7 gram per cubic cm.
  A)
  32.67 kg              done clear
  B)
         33.84 kg done clear
  C)
  32.24 kg              done clear
  D)
                    31.46 kg done clear
  E)
  None of these done clear
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• question_answer9)
  A hollow garden roller whose external diametre is 42 cm and has a length of 132 cm is made of 2 cm thick cast iron. Find the weight of the roller if \[\mathbf{1}\text{ }\mathbf{c}{{\mathbf{m}}^{\mathbf{3}}}\] of iron weighs 10 gram.
  A)
  331.89 kg  done clear
  B)
         277.78 kg            done clear
  C)
                   279.78 kg             done clear
  D)
        278.5 kg               done clear
  E)
                 None of these   done clear
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• question_answer10)
  A hollow iron pipe is 21 cm long and its external diameter is 8 cm. Sf the thickness of the pipe is 1 cm and iron weighs \[\mathbf{8}\text{ }\mathbf{g}/\mathbf{c}{{\mathbf{m}}^{\mathbf{3}}}\], then the weight of the pipe is:
  A)
  3.6 kg                   done clear
  B)
        3.696 kg done clear
  C)
  36 kg                   done clear
  D)
          36.9 kg done clear
  E)
  None of these done clear
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• question_answer11)
  A metallic sheet is of rectangular shape with dimensions \[\mathbf{48m}\times \mathbf{36m}\]. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8m, the volume of the box \[(in\,\,{{m}^{3}})\] is :
  A)
  4830                     done clear
  B)
          5120 done clear
  C)
  6420                     done clear
  D)
           8960 done clear
  E)
  None of these done clear
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• question_answer12)
  A large cube is formed from the material obtained by melting three smaller cubes of side 3, 4 and 5 cm. What is the ratio of the total surface areas of the smaller cubes and the large cube?
  A)
  \[2:1\]                    done clear
  B)
        \[3:2\] done clear
  C)
  \[25:18\]   done clear
  D)
                    \[27:20\] done clear
  E)
  None of these done clear
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• question_answer13)
  The slant height of a right circular cone is 10m and its height is 8m. Find the area of its curved surface.
  A)
  \[30\pi \,{{m}^{2}}\]               done clear
  B)
        \[40\pi \,{{m}^{2}}\] done clear
  C)
  \[60\pi \,{{m}^{2}}\]    done clear
  D)
        \[80\pi \,{{m}^{2}}\] done clear
  E)
  None of these done clear
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• question_answer14)
  From a solid cylinder of height 4 cm and radius 3 cm, a conical cavity of height 4 cm and of base radius 3 cm is hollowed out. What is the total surface area of the remaining solid?
  A)
  \[15\pi \,sq\,cm\]           done clear
  B)
        \[22\pi \,sq\,cm\] done clear
  C)
  \[33\pi \,sq\,cm\]           done clear
  D)
        \[48\pi \,sq\,cm\] done clear
  E)
  None of these done clear
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