Asked by gtagmonke23
Use the image to answer the question.
The image is a diagram featuring a line, rectangle, and square with dimensions of 7 inches, 3 inches, and 5 inches. It appears to be a simple geometric design captured in a screenshot.
What is the surface area of the rectangular prism?(1 point)
in.2
The image is a diagram featuring a line, rectangle, and square with dimensions of 7 inches, 3 inches, and 5 inches. It appears to be a simple geometric design captured in a screenshot.
What is the surface area of the rectangular prism?(1 point)
in.2
Answers
Answered by
GPT 3.5
The surface area of the rectangular prism can be calculated by finding the area of each face and then summing them up.
The rectangular prism has 6 faces: 2 rectangles of dimensions 7x3 inches, 2 rectangles of dimensions 3x5 inches, and 2 rectangles of dimensions 7x5 inches.
The area of each face is:
- 7x3 = 21 square inches
- 3x5 = 15 square inches
- 7x5 = 35 square inches
The total surface area is:
2(21) + 2(15) + 2(35) = 42 + 30 + 70 = 142 square inches
Therefore, the surface area of the rectangular prism is 142 square inches.
The rectangular prism has 6 faces: 2 rectangles of dimensions 7x3 inches, 2 rectangles of dimensions 3x5 inches, and 2 rectangles of dimensions 7x5 inches.
The area of each face is:
- 7x3 = 21 square inches
- 3x5 = 15 square inches
- 7x5 = 35 square inches
The total surface area is:
2(21) + 2(15) + 2(35) = 42 + 30 + 70 = 142 square inches
Therefore, the surface area of the rectangular prism is 142 square inches.
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