Volume of a rectangular box (cuboid) with length $= 2 a b,$ breadth $= 3 a c$ and height $= 2 a c$ is

12 a^{2} b c^{2}

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12 a^{3} b c^{2}

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12 a^{2} b c

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2 a b + 3 a c + 2 a c

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Solution

The correct option is B $12 a^{3} b c^{2}$
Given

Length $= 2 a b$

Breadth $= 3 a c$

Height $= 2 a c$

Volume of cuboid $=$ length $\times$ breadth $\times$ height

$= 2 a b \times 3 a c \times 2 a c$

$= 12 a^{3} b c^{2}$

$∴$ Hence the correct answer is $12 a^{3} b c^{2}$ .

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