Geometry and TrigonometryHardVolume of a cube from its surface area
Geometry and Trigonometry practice question
A cube has a total surface area of 150 square inches. What is the volume of the cube, in cubic inches?
Answer: 125
A cube has 6 identical square faces, so each face has area 150 / 6 = 25 and each edge is √25 = 5 inches. Volume = 5³ = 125.
Common wrong answers
- If you answered 5
- 5 is the edge length. Volume is edge cubed: 5³ = 125.
- If you answered 25
- 25 is the area of one face. Take the square root to get the edge, then cube it.
- If you answered 150
- 150 is the surface area, which was given. Volume is a different quantity: edge³.
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