Question
A net of a rectangular prism shows two rectangles each with measurements 15 inches by 12 inches two other rectangles with measurements 12 inches by 6 inches and two more with measurements 15 inches by 6 inches. What is the surface area
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Answered by
GPT 3.5
To calculate the surface area of the rectangular prism, you need to find the area of each of the six sides and then add them together.
The formula for finding the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given that the measurements are:
- Two rectangles with measurements 15 inches by 12 inches. Area = 15 x 12 = 180 square inches.
- Two rectangles with measurements 12 inches by 6 inches. Area = 12 x 6 = 72 square inches.
- Two rectangles with measurements 15 inches by 6 inches. Area = 15 x 6 = 90 square inches.
Plug these values into the formula:
Surface Area = 2(180) + 2(180) + 2(90)
Surface Area = 360 + 360 + 180
Surface Area = 900 square inches
Therefore, the surface area of the rectangular prism is 900 square inches.
The formula for finding the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given that the measurements are:
- Two rectangles with measurements 15 inches by 12 inches. Area = 15 x 12 = 180 square inches.
- Two rectangles with measurements 12 inches by 6 inches. Area = 12 x 6 = 72 square inches.
- Two rectangles with measurements 15 inches by 6 inches. Area = 15 x 6 = 90 square inches.
Plug these values into the formula:
Surface Area = 2(180) + 2(180) + 2(90)
Surface Area = 360 + 360 + 180
Surface Area = 900 square inches
Therefore, the surface area of the rectangular prism is 900 square inches.
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