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Problem 28

Geometry Difficulty 1.1 Multiple choice CEMC Cayley · Canada · 2015

The base of a rectangular box measures 2 cm by 5 cm. The volume of the box is 30 cm 3\text{30 cm 3}. What is the height of the box?

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Official solution

The volume of a rectangular box equals the area of its base times its height.

Thus, the height equals the volume divided by the area of the base.

The area of the base of the given box is 2 5 =10 cm 2\text{2 5 =10 cm 2}.

Therefore, the height of the given box is 30 10 = 3 cm\text{30 10 = 3 cm}.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.