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A cube has a surface area of 54cm2. What is its volume?
Solution:
A cube has six faces, each with the same surface area. Therefore the surface area of each face of a cube with a total surface area of 54cm² is 9 cm².
If the area of one face of the cube is 9cm² then its edge length must be 3cm (3 x 3 = 9).
The volume of a cube with edges 3cm long is = 3cm x 3cm x 3cm, which makes 27cm³.
