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The areas of three adjacent faces of a cuboid will be 8 $cm 2$ , 18 $cm 2$ and 25 . What will be the volume of the cuboid?

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60 c m 3

70 c m 3

65 c m 3

50 c m 3

answer is A.

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Detailed Solution

Given that the areas of three adjacent faces of a cuboid, 8

cm 2

, 18

cm 2

and 25

cm 2

.
Volume of cuboid

= l × b × h

Here,
l= length,
b = breadth
h = height.
Multiplying the given areas,

l b × b h × l h = 8 × 18 × 25

⇒ (l b h) 2 = 2 × 2 × 2 × 3 × 3 × 2 × 5 × 5

Taking square root,

l b h = (2 × 2 × 2 × 3 × 3 × 2 × 5 × 5)

l b h = 2 × 2 × 3 × 5 = 60 c m 3

Thus, the volume will be

60 c m 3

.
Therefore, the correct option is 1.

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