A rectangular prism has a length of 6 cm, a width of 4 cm, and a height of 5 cm. How many rectangles in the net will have the dimensions 6 cm × 4 cm?(1 point)
There will be two rectangles in the net with the dimensions 6 cm × 4 cm.
A rectangular prism has dimensions 7 1/2 in. × 4 in. × 2 1/2 in. In the net of this prism, how many sides will be represented?
(1 point)
There will be 6 sides represented in the net of this rectangular prism.
Keira is wrapping up her air conditioner for the winter. She needs to determine how much shrink wrap will cover the air conditioner completely. If the dimensions of the air conditioner are 23’’ x 25’’ x 17’’, what is its surface area in square inches? Use a net to help you calculate your answer.(1 point)
Here is a net for the rectangular prism of the air conditioner:
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The surface area of the rectangular prism can be calculated by finding the area of each rectangle and adding them up.
- The bottom and top rectangles each have dimensions 23" x 17", so their total area is 2 x 23" x 17" = 782 square inches.
- The two side rectangles each have dimensions 23" x 25", so their total area is 2 x 23" x 25" = 1150 square inches.
- The front and back rectangles each have dimensions 17" x 25", so their total area is 2 x 17" x 25" = 850 square inches.
Adding up all the areas, we get:
782 + 1150 + 850 = 2782
So the surface area of the air conditioner is 2782 square inches.
Apply the technique of using nets. What is the surface area of the rectangular prism whose dimensions measure 7 inches by 3 inches by 11 inches? (1 point)
Responses
A. 262 in squared
B. 231 in squared
C. 154 in squared
D. 131 in squared
Here is a net for the rectangular prism with dimensions 7 inches by 3 inches by 11 inches:
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+-------------+ | /
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+--------+ |/
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To find the surface area of the rectangular prism, we need to calculate the area of each face and add them up.
- The front and back faces each have dimensions 7 inches by 11 inches, so their area is 2 x 7 x 11 = 154 square inches.
- The top and bottom faces each have dimensions 3 inches by 11 inches, so their area is 2 x 3 x 11 = 66 square inches.
- The left and right faces each have dimensions 3 inches by 7 inches, so their area is 2 x 3 x 7 = 42 square inches.
Adding up all the areas, we get:
154 + 66 + 42 = 262
So the surface area of the rectangular prism is 262 square inches.
Therefore, the correct answer is option A: 262 in².