The surface area of a rectangular prism may be determined by using the formula S = 2 (lw + lh + wh), where "S" stands for surface area, "l" stands for the length of the prism, w" stands for the width of the prism, and "h" stands for the height of the prism. If the length of the prism is 2 cm, the width is 4 cm, and the height is 5 cm, what is the surface area of the prism?

Question

Mathematics

Lamar Griffith

20 March, 12:33

The surface area of a rectangular prism may be determined by using the formula S = 2 (lw + lh + wh), where "S" stands for surface area, "l" stands for the length of the prism, w" stands for the width of the prism, and "h" stands for the height of the prism. If the length of the prism is 2 cm, the width is 4 cm, and the height is 5 cm, what is the surface area of the prism?

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Answers (1)

Know the Answer?

Yusuf Ellison · Answer 1

S = 76 cm²

Step-by-step explanation:

Given

S = 2 (lw + lh + wh)

Substitute l = 2, w = 4 and h = 5 into the formula

S = 2 (2 * 4 + 2 * 5 + 4 * 5)

= 2 (8 + 10 + 20) = 2 * 38 = 76 cm²