Question

The diagonal of the face of a cube measures 6 cm. Find its surface area

Answer 1

Step-by-step explanation:

Let the side length of the cube be a.

Then length of its diagonal is d =√{a²+a²+a²} = a√3.

But, given diagonal is 6√3.

Comparing both the results, we find a = 6.

Now, total surface area of a cube whose side length is a, T= 6a².

Clearly, total surface area of a cube whose side length is 6, T= 6(6)² = 216 cm².