Surface Area Of Prisms & Pyramids
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This quiz assesses the ability to calculate surface areas of various geometric shapes, specifically prisms and pyramids. It includes practical scenarios like constructing boxes and making class project models, enhancing spatial reasoning and geometry skills.
Questions and Answers
- 1.
The net of a paperweight is shown below. Which is closest to the lateral surface area of the paperweight?
- A.
![Surface Area Of Prisms & Pyramids - Quiz]()
- B.
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- C.
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- D.
![Surface Area Of Prisms & Pyramids - Quiz]()
Correct Answer
D. -
- 2.
A rectangular prism with a length of 14 inches, a width of 4 inches, and height of 6 inches is shown below, along with it's net. What is the surface area of the prism?
- A.
![Surface Area Of Prisms & Pyramids - Quiz]()
- B.
![Surface Area Of Prisms & Pyramids - Quiz]()
- C.
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- D.
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Correct Answer
B.Explanation
The surface area of a rectangular prism can be found by adding up the areas of all six faces. In this case, the prism has two identical rectangular faces with dimensions 14 inches by 4 inches, two identical rectangular faces with dimensions 14 inches by 6 inches, and two identical rectangular faces with dimensions 4 inches by 6 inches. To find the surface area, we can calculate the area of each face and then add them all together. The area of each face is found by multiplying the length and width of the face. Therefore, the surface area of the prism is (14x4) + (14x4) + (14x6) + (14x6) + (4x6) + (4x6) = 280 + 280 + 84 + 84 + 24 + 24 = 776 square inches.Rate this question:
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- 3.
A cube has a side length of 6.5 cm. The cube and its net are shown below. Find the surface area of the cube.
- A.
![Surface Area Of Prisms & Pyramids - Quiz]()
- B.
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- C.
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- D.
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Correct Answer
C.Explanation
The surface area of a cube is found by multiplying the length of one side by itself, and then multiplying that result by 6 (since a cube has 6 equal sides). In this case, the side length of the cube is given as 6.5 cm. Therefore, the surface area of the cube would be 6.5 cm * 6.5 cm * 6 = 253.5 cm².Rate this question:
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- 4.
Juan is contructing boxes like the one shown below. How much cardboard is needed to make 1 box?
- A.
![Surface Area Of Prisms & Pyramids - Quiz]()
- B.
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- C.
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- D.
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Correct Answer
B. -
- 5.
Sara was making pyramids for a class project. The pattern she used to build her triangular pyramid, made of congruent equilateral triangles, is shown below. Which is closest to the surface area of Sara's pyramid?
- A.
![Surface Area Of Prisms & Pyramids - Quiz]()
- B.
![Surface Area Of Prisms & Pyramids - Quiz]()
- C.
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- D.
43 cm2
Correct Answer
D. 43 cm2Explanation
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Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
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Current Version
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Jul 10, 2024Quiz Edited by
ProProfs Editorial Team -
Feb 17, 2014Quiz Created by
Talford
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