Volume and Surface Area MCQ

Test your knowledge with important Volume and Surface Area MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30 + more Volume and Surface Area MCQs at Bissoy

• Two cans have the same height equal to 21 cm. One can is cylindrical, the diameter of whose base is 10 cm. The other can has square base of side 10 cm. What is the difference in their capacities ?
  ক

  250 cm³

  খ

  300 cm³

  গ

  1350 cm³

  ঘ

  450 cm³
• The volume of a cuboid is twice that of a cube . If the dimensions of the cuboid are 9 cm, 8 cm and 6 cm, the total surface area of the cube is :
  ক

  72 cm²

  খ

  108 cm²

  গ

  216 cm²

  ঘ

  432 cm²
• Each side of a cube measures 8 metres. What is the volume of the cube ?
  ক

  72 cu.m

  খ

  144 cu.m

  গ

  196 cu.m

  ঘ

  None of these
• A rectangular tank is 225 m by 162 m at the base. With what speed must water flow into it through an aperture 60 cm by 45 cm so that the level may be raised 20 cm in 5 hours ?
  ক

  5000 m/hr

  খ

  5200 m/hr

  গ

  5400 m/hr

  ঘ

  5600 m/hr
• If the radius of a sphere is increased by 10%, then the volume will be increased by :
  ক

  33.1%

  খ

  30%

  গ

  50%

  ঘ

  10%
• The ratio of the volumes of a right circular cylinder and a sphere is 3 : 2. If the radius of the sphere is double the radius of the base of the cylinder, find the ratio of the total surface areas of the cylinder and the sphere :
  ক

  9 : 8

  খ

  13 : 8

  গ

  15 : 8

  ঘ

  17 : 8
• The radius of a hemispherical bowls is 6 cm. The capacity of the bowl is $$\left( {{\text{Take }}\pi = \frac{{22}}{7}} \right)$$
  ক

  495.51 cm³

  খ

  452.57 cm³

  গ

  345.53 cm³

  ঘ

  422 cm³
• The length of canvas 1.1 m wide required to build a conical tent of height 14 m and the floor area 346.5 sq.m is :
  ক

  490 m

  খ

  525 m

  গ

  665 m

  ঘ

  860 m
• If the volume and curved surface area of a cylinder are 616 m³ and 352 m² respectively, what is the total surface area of the cylinder (in m²)
  ক

  429$$\,{\text{sq}}{\text{.m}}$$

  খ

  419$$\,{\text{sq}}{\text{.m}}$$

  গ

  435$$\,{\text{sq}}{\text{.m}}$$

  ঘ

  421$$\,{\text{sq}}{\text{.m}}$$

  ঙ

  417$$\,{\text{sq}}{\text{.m}}$$
• What is the volume in cubic cm of a pyramid whose area of the base is 25 sq cm and height 9 cm ?
  ক

  60 cm³

  খ

  75 cm³

  গ

  90 cm³

  ঘ

  105 cm³
• A hemispherical bowl is 176 cm round the brim. Supposing it to be half full, how many persons may be served from it in hemispherical glasses 4 cm in diameter at the top ?
  ক

  1172

  খ

  1272

  গ

  1372

  ঘ

  1472
• The diameter of the iron ball used for the shot-put game is 14 cm. It is melted and then a solid cylinder of height $$2\frac{1}{3}$$ cm is made. What will be the diameter of the base of the cylinder ?
  ক

  14 cm

  খ

  $$\frac{{14}}{3}$$ cm

  গ

  28 cm

  ঘ

  $$\frac{{28}}{3}$$ cm
• If the surface area of two spheres are in the ratio of 4 : 25, then the ratio of their volumes is :
  ক

  4 : 25

  খ

  25 : 4

  গ

  125 : 8

  ঘ

  8 : 125
• In a right circular cone, the radius of its base is 7 cm and its height is 24 cm. A cross-section is made through the mid-point of the height parallel to the base. The volume of the upper portion is :
  ক

  154 cm³

  খ

  169 cm³

  গ

  800 cm³

  ঘ

  1078 cm³
• A semicircular sheet of paper of diameter 28 cm is bent to cover the exterior surface of an open conical ice-cream cup. The depth of the ice-cream cup is :
  ক

  8.12 cm

  খ

  10.12 cm

  গ

  12.12 cm

  ঘ

  14.12 cm
• An iron pipe 20 cm long has exterior diameter equal to 25 cm. If the thickness of the pipe is 1 cm, then the whole surface of the pipe is :
  ক

  3068 cm²

  খ

  3168 cm²

  গ

  3268 cm²

  ঘ

  3368 cm²
• A well with inner diameter 8 m is dug 14 m deep. Earth take out of its has been evenly spread all around it to a width of 3 m form an embankment. The height of the embankment will be :
  ক

  $${\text{4}}\frac{{26}}{{33}}{\text{m}}$$

  খ

  $${\text{5}}\frac{{26}}{{33}}{\text{m}}$$

  গ

  $${\text{6}}\frac{{26}}{{33}}{\text{m}}$$

  ঘ

  $${\text{7}}\frac{{26}}{{33}}{\text{m}}$$
• A closed metallic cylindrical box is 1.25 m high and its base radius is 35 cm. If the sheet metal costs Rs. 80 per m², the cost of the material used in the box is :
  ক

  Rs. 281.60

  খ

  Rs. 290

  গ

  Rs. 340.50

  ঘ

  Rs. 500
• How many small cubes, each of 96 cm surface area, can be formed from the material obtained by melting a larger cube of 384 cm surface area ?
  ক

  5

  খ

  8

  গ

  800

  ঘ

  8000
• The dimensions of a certain machine are 48" × 30" × 52". If the size of the machine is increased proportionately until the sum of its dimensions equal 156", what will be the increase in the shortest side ?
  ক

  4"

  খ

  6"

  গ

  8"

  ঘ

  9"
• A tent is in the form of a right circular cylinder surmounted by a cone. The diameter of the cylinder is 24 m. The height of the cylindrical portion is 11 m while the vertex of the cone is 16 m above the ground. The area of the canvas required for the tent is :
  ক

  1300 m²

  খ

  1310 m²

  গ

  1320 m²

  ঘ

  1330 m²
• The radius and height of a right circular cone are in the ratio 3 : 4. If its volume is $$301\frac{5}{7}$$ cm³, what is its slant height ?
  ক

  8 cm

  খ

  9 cm

  গ

  10 cm

  ঘ

  12 cm
• The truck of a tree is a right cylinder 1.5 m in radius and 10 m high. The volume of the timber which remains when the truck is trimmed just enough to reduce it to a rectangular parallelopiped on a square base is :
  ক

  44 m³

  খ

  45 m³

  গ

  46 m³

  ঘ

  47 m³
• A cylindrical tank of diameter 35 cm is full of water. If 11 litres of water is drawn off, the water level in the tank will drop by :
  ক

  $$10\frac{1}{2}{\text{ cm}}$$

  খ

  $$11\frac{3}{7}{\text{ cm}}$$

  গ

  $$12\frac{6}{7}{\text{ cm}}$$

  ঘ

  $$14{\text{ cm}}$$
• A well has to be dug out that is to be 22.5 m deep and of diameter 7 m. Find the cost of plastering the inner curved surface at Rs. 3 per sq.meter :
  ক

  Rs. 1465

  খ

  Rs. 1475

  গ

  Rs. 1485

  ঘ

  Rs. 1495
• A 4 cm cube is cut into 1 cm cubes. The total surface area of all the small cubes is :
  ক

  24 cm²

  খ

  96 cm²

  গ

  384 cm²

  ঘ

  None of these
• If the areas of three adjacent faces of a rectangular block are in the ratio of 2 : 3 : 4 and its volume is 9000 cu.cm; then the length of the shortest side is :
  ক

  10 cm

  খ

  15 cm

  গ

  20 cm

  ঘ

  30 cm
• A plot of land in the form of a rectangle has dimensions 240 m × 180 m. A drain-let 10 m wide is dug all around it (outside) and the earth dug out is evenly spread over the plot, increasing its surface level by 25 cm. The depth of the drain-let is :
  ক

  1.223 m

  খ

  1.225 m

  গ

  1.227 m

  ঘ

  1.229 m
• A sphere of maximum volume is cut out from a solid hemisphere of radius r. The ratio of the volume of the hemisphere to that of the cut out sphere is :
  ক

  3 : 2

  খ

  4 : 1

  গ

  4 : 3

  ঘ

  7 : 4
• A right circular cylinder and a sphere are of equal volumes and their radii are also equal. If h is the height of the cylinder and d, the diameter of the sphere, then :
  ক

  $$h = d$$

  খ

  $$2h = d$$

  গ

  $$\frac{h}{3} = \frac{d}{2}$$

  ঘ

  $$\frac{h}{2} = \frac{d}{3}$$