Surface Area of Rectangular Prisms Quick Check

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Use the image to answer the question.

An illustration shows the unfolded version of a rectangular prism composed of 6 rectangles. There are four adjoining rectangles positioned horizontally. The first and third are similar and smaller. The top of the first rectangle is labeled 2 feet. The second and fourth are similar and bigger. The fourth rectangle is labeled 8 feet on the right side. The second rectangle shares the top and bottom sides with two similar rectangles, one on each side. The top rectangle is labeled as 5 feet on the top side.

Use this net to find the surface area of the rectangular prism it represents.

(1 point)
Responses

66 ft.2
66 ft squared

80 ft.2
80 ft squared

132 ft.2
132 ft squared

30 ft.2

Answer 1

Explanation:

To find the surface area of a rectangular prism, you need to add up the areas of all six faces.

The top and bottom faces have dimensions of 8 feet by 5 feet, so each of them has an area of 8 * 5 = 40 ft^2. Since there are two of them (top and bottom), the total area for these faces is 40 * 2 = 80 ft^2.

The two side faces have dimensions of 2 feet by 8 feet, so each of them has an area of 2 * 8 = 16 ft^2. Since there are two of them (left and right), the total area for these faces is 16 * 2 = 32 ft^2.

The front and back faces have dimensions of 2 feet by 5 feet, so each of them has an area of 2 * 5 = 10 ft^2. Since there are two of them (front and back), the total area for these faces is 10 * 2 = 20 ft^2.

Adding up all the areas, the total surface area of the rectangular prism is 80 + 32 + 20 = 132 ft^2.

Therefore, the surface area of the rectangular prism is 132 ft^2.