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Surface Areas and Volumes

Short Answer Type

121.

A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute?

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122. An underground water tank is in the form of a cuboid of edges 48 m, 36 m and 28 m. Find the volume of the tank.

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123. The areas of three adjacent faces of a cuboid are p, q and r. If its volume is v, prove that v² = pqr.

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124. Three cubes of edge 12 cm are joined together (end to end). Find the volume of the resulting cuboid.

For cuboid
Length (l) = 12 + 12 + 12 = 36 cm Breadth (b) = 12 cm Height (h) = 12 cm
∴ Volume of the resulting cuboid = Ibh
= 36 x 12 x 12 = 5184 cm³

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125. A box with lid is made out of 2 cm thick wood. Its external length, breadth and height are 25 cm, 18 cm and 15 cm respectively. Find the capacity of the box and volume of the wood used.

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126. A rectangular metallic sheet has dimensions 48 cm x 36 cm. From each of its comers, a square of side 8 cm is cut off and an open box is made from the remaining sheet, find the volume of the box.

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127.

A cubical box has each edge of length 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high. Find the volume of the box which has greater lateral surface area.

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