Question

The areas of three adjacent faces of cuboid are 15cm², 20cm² and 12cm². Find volume of

the cuboid​

Answer 1

Answer:

The area of three adjacent faces of a cuboid are 15cm^2, 12cm^2, and 20cm^2. What is the volume of the cuboid?

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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.

Let the dimensions of the cubiod be

length = l cm

breadth= b cm

height = h cm

Given

lb =15sq cm --(1)

bh = 20 sq cm --(2)

lh = 12 sq cm ---(3)

multiply (1) ,(2 ) and (3)

lb*bh*lh = 15*20 *12

(lbh)²=3600

∴

lbh = √3600

volume of the cubiod = 60 cu cm(60cm^3)