Question
Use the image below to answer the following questions.
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How to Determine the Surface Area of a Rectangular Prism (Ctrl + link to open in a new tab)
(4 points)
Determine the area of the top of the rectangular prism.
square inches
Determine the area of the side of the rectangular prism.
square inches
Determine the area of the front of the rectangular prism.
square inches
What is the total surface area of the rectangular prism?
square inches
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To determine the surface area of a rectangular prism, we need to calculate the area of each face and then add them together.
1. Area of the top of the rectangular prism:
In the image, the top face of the rectangular prism is a rectangle with dimensions of 6 inches by 4 inches.
Area = length x width = 6 inches x 4 inches = 24 square inches
2. Area of the side of the rectangular prism:
In the image, the side face of the rectangular prism is a rectangle with dimensions of 6 inches by 3 inches.
Area = length x width = 6 inches x 3 inches = 18 square inches
3. Area of the front of the rectangular prism:
In the image, the front face of the rectangular prism is a rectangle with dimensions of 4 inches by 3 inches.
Area = length x width = 4 inches x 3 inches = 12 square inches
4. Total surface area of the rectangular prism:
To find the total surface area, we add the areas of all the faces together.
Total surface area = 2(top area) + 2(side area) + 2(front area) = 2(24) + 2(18) + 2(12) = 48 + 36 + 24 = 108 square inches
Therefore, the total surface area of the rectangular prism is 108 square inches.