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Given a cuboid tank, in which situation will you find surface area and in which situation volume.

(a) To find how much it can hold.

(b) Number of paint bottle required to paint it.

(c) To find the number of smaller tanks that can be filled with water from it.

Solution

Compare the volumes

(a) Cube (side =12 cm)

Cuboid (L=11 cm, B=12 cm, H=13 cm)

(b) Cylinder ( r=10 cm , H=14 cm)

Cuboid (L=10 cm, B=11 cm, H=14 cm)

Solution

Find following

(a) the height of a cuboid whose base area is 180 cm

(b) The side of cube whose volume is 64 m

(c) Volume of the cylinder whose base area is 20 cm

Solution

A cuboid is of dimensions 60 cm × 54 cm × 30 cm. How many small cubes with side 12 cm can be placed in the given cuboid?

Solution

Find the height of the cylinder whose volume is 2.54 m³ and diameter of the base is 140 cm?

Solution

A water tank is in the form of cuboid whose length is 1.5 m , height is 2 m and Breath is 7 m. Find the quantity of water in litres that can be stored in the tank?

Solution

If each edge of a cube is quadrupled,

(i) how many times will its surface area increase?

(ii) how many times will its volume increase?

Solution

Water is pouring into a cuboidal reservoir at the rate of 60 liters per minute. If the volume of reservoir is 108 m³, find the number of hours it will take to fill the reservoir.

Solution

If Length, Breath, Height of a cuboid is tripled,

(i) how many times will its surface area increase?

(ii) how many times will its volume increase?

Solution

If radius of cylinder is tripled and height remains same

(i) how many times will its surface area increase?

(ii) how many times will its volume increase?

Solution

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