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Surface Areas and Volumes

Short Answer Type

141. Three cubes each of volume 125 cm³ are joined end to end to form a cuboid. Find the total surface area of cuboid.

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142. A solid cube of side 16 cm is cut into eight cubes of equal volume. What will be the side of the new cube.

Solution not provided.

Ans. 8 cm

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143. To construct a wall 25 m long, 0.3 m thick and 6 m high, bricks of dimensions 50 cm x f5 cm x 10 cm, each are used. If the mortar occupies

1 over 10 th

of the volume of the wall, find the number of bricks used.

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144. A village having a population of 2000, requires 150 litres of water per head per day. It has a tank measuring 20 m x 15 m x 6 m. Find how many days will the water of this tank last?

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145. A solid cuboid of dimensions 12 cm x 18 cm x 10 cm is cut into cubes of side 2 cm. How many such cubes can be cut from the cuboid? Compare the total surface area of the cube and cuboid.

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146. The lateral surface area of a cube is 324 cm². Find its volume and the total surface area.

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147. Find the volume, total surface area, lateral surface area and the length of diagonal of a cube, each of whose edges measures 20 cm.

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148. The height, breadth and length of a cuboidal box are in the ratio 1 : 2 : 3. Find the volume of the box if its surface area is 1078 dm².

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149. The length of a room is double its breadth. Its height is 3 m. The area of the four walls excluding a door of dimensions 4 m x 2 m is 100 m². Find its volume.

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150. A storage tank is in the form of a cube, when full has the volume of water as 15.625 m³. If the present depth of water is 1.3 m, find the volume of water already used from the tank.

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