Question

The total surface area of a cube is 726 cm². Find its volume.

Answer 1

Given: Total surface area (TSA) of the cube = 726 cm².

Step-wise calculation:

1. Let the side of the cube = a cm.

2. TSA of a cube = 6a².

So, 6a² = 726.

3. a² = 726 ÷ 6

= 121

4. a = `sqrt(121)`

= 11 cm

5. Volume of a cube = a³

= 11³

= 1331 cm³

The volume of the cube is 1331 cm³.