The surface of a cube is 24sq cm. Find its volume?
Correct answer: A. 8 cc
- A. 8 cc
- B. 16 cc
- C. 32 cc
- D. 64 cc
Explanation
The surface area is 6a^2, so 6a^2 = 24 cm2 gives a^2 = 4 cm2 and a = 2 cm. Therefore the volume is a^3 = (2 cm)^3 = 8 cm3. Students may choose 16 cm3 by multiplying the surface area relation incorrectly instead of first finding the edge.
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About Area and Volume
Area measures the surface enclosed by two-dimensional figures, while volume measures the space occupied by three-dimensional solids. Problems use formulas for rectangles, triangles, circles, prisms, cylinders, cones, spheres, and composite figures, including unit conversion and the distinction between surface area, lateral area, and volume.
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