Question 56

The areas of three adjacent faces of a cuboid are 30 cm$$^2$$, 20 cm$$^2$$ and 24 cm$$^2$$. The volume of the cuboid is:

Solution

Let the length, breadth, height of the cuboid are l, b, h respectively

Given, the areas of three adjacent faces of a cuboid are 30 cm$$^2$$, 20 cm$$^2$$ and 24 cm$$^2$$

$$\Rightarrow$$ lb x bh x lh = 30 x 20 x 24

$$\Rightarrow$$ (lbh)$$^2$$ = 14400

$$\Rightarrow$$ lbh = 120 cm$$^3$$

$$\therefore\ $$Volume of the cuboid = lbh = 120 cm$$^3$$

Hence, the correct answer is Option B

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