In digging a pond 20 m * 10 m * 5 m the volumes of the soil extracted will be_________?
Correct answer: B. 1000 cu.m
- A. 100 cu.m
- B. 1000 cu.m
- C. 10000 cu.m
- D. 2000 cu.m
Explanation
The volume of a rectangular pond is length x width x depth = 20 m x 10 m x 5 m = 1000 m3. The volume of soil extracted equals the volume dug out, so it is 1000 m3. The likely mistake is choosing 100 m3, option a, by omitting one factor of 10.
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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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