 # 3-D Shapes

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• Q1

The areas of three adjacent faces of a cuboid are a, b and c. If the volume of the cuboid is V, then V2 is equal to

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abc.

##### Explanation: • Q2

If the volume of a cube is 216 cm3, then the surface area of the cube will be

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216 cm2.

##### Explanation:

Since, volume of a cube = side3
Thus,                     side = 6 cm
And,
surface area of the cube = 6 x side2
= 216 cm2

• Q3

If the volume of two cubes are in the ratio of 8 : 27, then the ratio of their edges is

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2 : 3.

##### Explanation:

Let V1 and V2 be the volumes and l1 and l2 be the sides of two cubes.
Since, volume of a cube = side3
Therefore,          V1 : V2 = l13 : l23

Or                    2 : 3   =   l1 : l2             (Given, V1 : V2 = 8 : 27)

• Q4

The area of four walls of a room whose length is 12 m, width is 8 m and height is 10 m is

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400 m2.

##### Explanation:

Area of four walls of a room = 2h(l+b)

= 2x10(12+8)

= 20x20

= 400 m2

• Q5

The base area of a cuboid is 25 cm2 and its height is 11 cm. The volume of the cuboid is

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