Surface Area of Prisms — Quiz

Question 6 • Grade 7 Mathematics

Which rectangular prism has a surface area of 62 square units? [Note: Art is not drawn to scale.]

Answer

Image with description A rectangular prism with the height labeled 4, the width labeled 2, and the length labeled 5.

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 1, 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 B, the dimensions are 2, 3, and 5, so the surface area is 2(2×3 + 2×5 + 3×5) = 2(6 + 10 + 15) = 62 square units. Therefore, the prism with dimensions 2, 3, and 5 has the requested surface area.

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