3D Solids & Volume

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| By Brick

Brick

Community Contributor

Quizzes Created: 2 | Total Attempts: 29,711

Questions: 10 | Attempts: 736 | Updated: Mar 21, 2023

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Questions and Answers

1.

What is the volume of the rectangular prism?
- A.
  
  15 cubic units
- B.
  
  30 cubic units
- C.
  
  45 cubic units
- D.
  
  60 cubic units
Correct Answer
B. 30 cubic units
2.

How many faces, edges, and vertices does a rectangular prism have?
- A.
  
  6 faces, 6 edges, 10 vertices
- B.
  
  8 faces, 10 edges, 12 vertices
- C.
  
  6 faces, 12 edges, 8 vertices
- D.
  
  6 faces, 12 edges, 12 vertices
Correct Answer
C. 6 faces, 12 edges, 8 vertices

Explanation
A rectangular prism has 6 faces because it has 6 sides. It has 12 edges because each side of the rectangle has 2 edges, and there are 6 sides in total. It has 8 vertices because each corner of the rectangular prism is a vertex, and there are 8 corners in total.

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3.
- A.
  
  10 cubic units
- B.
  
  25 cubic units
- C.
  
  35 cubic units
- D.
  
  60 cubic units
Correct Answer
D. 60 cubic units
4.

How many more unit cubes are needed to fill the box on the left so that it is completely full like the box on the right??
- A.
  
  39
- B.
  
  21
- C.
  
  60
- D.
  
  36
Correct Answer
A. 39

Explanation
The box on the left is not completely full like the box on the right. To make it completely full, we need to add more unit cubes. The correct answer is 39, which means that we need 39 more unit cubes to fill the box on the left.

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5.

What is the volume of the base layer of the rectangular prism??
- A.
  
  15 cm cubed
- B.
  
  20 cm cubed
- C.
  
  12 cm cubed
- D.
  
  60 cm cubed
Correct Answer
C. 12 cm cubed

Explanation
The volume of a rectangular prism is calculated by multiplying the length, width, and height of the prism. Since the question specifically asks for the volume of the base layer, it means that the height of the prism is not included in the calculation. Therefore, the correct answer is 12 cm cubed, as it represents the volume of the base layer of the rectangular prism.

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2
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6.

What is the volume of a rectangular prism with a Length of 4 cm, a Width of 6 cm, and a Height of 3 cm?
- A.
  
  13 cm cubed
- B.
  
  24 cm cubed
- C.
  
  48 cm cubed
- D.
  
  72 cm cubed
Correct Answer
D. 72 cm cubed

Explanation
The volume of a rectangular prism is calculated by multiplying the length, width, and height together. In this case, the length is 4 cm, the width is 6 cm, and the height is 3 cm. By multiplying these values (4 x 6 x 3), we get the volume of 72 cm cubed.

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7.

What is the volume of a cube with a height of 5 inches?
- A.
  
  25 inches cubed
- B.
  
  50 inches cubed
- C.
  
  125 inches cubed
- D.
  
  375 inches cubed
Correct Answer
C. 125 inches cubed

Explanation
The volume of a cube is calculated by multiplying the length, width, and height of the cube. Since all sides of a cube are equal, the height can be used as the length, width, and height of the cube. Therefore, the volume of a cube with a height of 5 inches is 5 x 5 x 5 = 125 inches cubed.

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1
0
8.

What is the volume of the cube?
- A.
  
  54 units cubed
- B.
  
  27 units cubed
- C.
  
  72 units cubed
- D.
  
  36 units cubed
Correct Answer
B. 27 units cubed

Explanation
The volume of a cube is calculated by multiplying the length of one side by itself three times. In this case, the cube has a volume of 27 units cubed because 3 multiplied by itself three times equals 27.

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9.

How many faces would the man see from his view from the top?
- A.
  
  2
- B.
  
  4
- C.
  
  6
- D.
  
  8
Correct Answer
C. 6

Explanation
The man would see 6 faces from his view from the top.

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1
0
10.

How many faces would the man see from the side view?
- A.
  
  4
- B.
  
  6
- C.
  
  8
- D.
  
  0
Correct Answer
A. 4

Explanation
The man would see 4 faces from the side view because a person's head typically has a front face, a left face, a right face, and a back face that are visible from the side.

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