Question

2. A cube has surface area and volume numerically equal, find its side.

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Answer 1

Answer:

The formula for the volume of a cuboid is : V = (l)(w)(h), but this is a cube so (l) = (w) = (h). So the volume is l³.

The surface area of a cube is 6 x the area of one face. The area of one face is l². So the surface area is 6l².

Set these two formulas equal: 6l² = l³ Divide both sides by l² => l = 6

Volume = 6³ = 216 units³ , surface area = 6(6)² = 216 units²