Volume of a rectangular box (cuboid)

Question:

Volume of a rectangular box (cuboid) with length = 2ab, breadth = 3ac and height = 2ac is

(a) 12a3bc2 

(b) 12a3bc

(c) 12a2bc

(d) 2ab +3ac + 2ac

Solution:

(a) 12a3bc2

We know that, volume of cuboid = length × breadth × height

Given, length = 2ab, breadth = 3ac, height = 2ac

= 2ab × 3ac × 2ac

= (2 × 3 × 2) × ab × ac × ac

= 12a3bc2

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