Question

The areas of three adjacent faces of a cuboid are 15 sq. cm, 20 sq. cm and 12 sq. cm. Find the volume of the cuboid.​

Answer 1

The area of three adjacent faces of a cuboid are 15 sq cm, 12 sq cm and 20 sq cm. What is the volume of the cuboid?

The sides of the cuboid are

3 cm x 5 cm,

3 cm x 4 cm and

4 cm x 5 cm.

Now there are pairs of 3 cm, 4 cm and 5 cm, which are the dimensions of the cuboid. Hence the volume of the cuboid is 3*4*5 = 60 cc.

Answer 2

Answer:

Let x, y, z denote the areas of three adjacent face of a cuboid

= x=l x b , y =b x h , z= l x h

volume is given by,

V = l x b x h

now, xyz= l x b x b x h x l x h = V^2

Here , x=15 ,y= 20 and z = 12

v^2 =15 x20 x 12= 3600

v= 60cm cube

Step-by-step explanation:

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