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Geometry Difficulty 1.4 Junior Find the answer Canada

What is the surface area of a 1 cm by 2 cm by 2 cm rectangular prism?

Pick one

Solution

The area of the 2 cm by 2 cm base of the rectangular prism is $\text{2 2 =4 cm 2}$ .

The top face of the prism is identical to the base and so its area is also 4 cm $^2$ .

Each of the 4 vertical faces of the prism has dimensions 2 cm by 1 cm, and thus has area $\text{2 1 =2 cm 2}$ .

Therefore the surface area of the rectangular prism is $\text{2 4+4 2=16 cm 2}$ .

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