The total surface area of a closed cube is given as 1152 cm². What is the length (in cm) of each side of the cube?

Question

Accepted Answer

The total surface area (TSA) of a cube is given by the formula TSA = 6a², where 'a' is the length of a side of the cube.

Given TSA = 1152 cm²,

6a² = 1152

a² = 1152 / 6 = 192

a = √192 = √(64 × 3) = 8√3

However, 8√3 is one of the options but let's verify carefully.

√192 = √(64 × 3) = 8√3

So the correct length is 8√3 cm.

Therefore, the correct option is 4: 8√3.

Answer

Answer

Answer