Question 71

The surface area of a cube is 13.5 m$$^2$$. What is the length (in m) of its diagonal?

Solution

Let the side of the cube = a

The surface area of a cube is 13.5 m$$^2$$.

6a$$^2$$ = 13.5

12a$$^2$$ = 27

a$$^2$$ = $$\frac{9}{4}$$

a = $$\frac{3}{2}$$

a = 1.5 m

Length of the diagonal of the cube = $$\sqrt{3}$$a

= 1.5$$\sqrt{3}$$ m

Hence, the correct answer is Option B

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