A cuboid of length 60 cm and a height of 45 cm have a volume equa

A cuboid of length 60 cm and a height of 45 cm have a volume equa
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A cuboid of length 60 cm and a height of 45 cm have a volume equal to 3 times the cube of its breadth. Find the breadth of the cuboid.

A. 900 cm

B. 30 cm

C. 40 cm

D. 60 cm

Please scroll down to see the correct answer and solution guide.

Right Answer is: B

SOLUTION

Given:

Length of cuboid (l) = 60 cm

Height of cuboid (h) = 45 cm

Concept used:

Volume of cuboid = l × b × h cm3

Calculation:

Volume of cuboid = l × b × h cm3 = 3 × b3

⇒ 60 × b × 45 = 3 × b3

⇒ b2 = 900

∴ b is 30 cm