Find the total surface area, in square cm, of a rectangular prism that is 9 cm by 10 cm by 8 cm.

Question

Find the total surface area, in square cm, of a rectangular prism that is 9 cm by 10 cm by 8 cm.

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Solution

To find the total surface area of a rectangular prism, you need to add up the areas of all six faces. The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.

Step 1: Identify the length (l), width (w), and height (h) of the prism. In this case, l = 9 cm, w = 10 cm, and h = 8 cm.

Step 2: Substitute these values into the formula:

Surface area = 2lw + 2lh + 2wh = 2(9 cm)(10 cm) + 2(9 cm)(8 cm) + 2(10 cm)(8 cm) = 180 cm^2 + 144 cm^2 + 160 cm^2 = 484 cm^2

So, the total surface area of the rectangular prism is 484 square cm.

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Find the total surface area, in square cm, of a rectangular prism that is 9 cm by 10 cm by 8 cm.

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