Surface Area of Prisms — Quiz

Question 7 • Grade 7 Mathematics

Which rectangular prism has a surface area of 56 square units? [Note: Art is not drawn to scale.]

Answer

Image with description A rectangular prism with the height labeled 1, the width labeled 3, and the length labeled 5.

Image with description A rectangular prism with the height labeled 4, the width labeled 2, and the length labeled 6.

Image with description A rectangular prism with the height labeled 2, the width labeled 3, and the length labeled 5.

Image with description A rectangular prism with the height labeled 6, the width labeled 2, and the length labeled 2.

Explanation

The surface area of a rectangular prism is 2(lw + lh + wh). For choice D, the dimensions are 6, 2, and 2, so the surface area is 2(6×2 + 6×2 + 2×2) = 2(12 + 12 + 4) = 56 square units. Thus, the prism with dimensions 6, 2, and 2 is the correct choice.

AI-written and checked against the verified answer.

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