Prisms

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Show your work for each problem.

1.
What shape are the lateral faces (sides) of any prism?
1. a)Triangles
2. b)Pentagons
3. c)Circles
4. d)Rectangles
2.
A prism has hexagonal bases. What is it called?
1. a)Triangular prism
2. b)Rectangular prism
3. c)Pentagonal prism
4. d)Hexagonal prism
3.
A rectangular prism has length 6 cm, width 4 cm, and height 3 cm. What is its volume in cm³?
4.
A cube has sides of 5 cm. What is its volume in cm³?
5.
Which formula is correct for calculating the volume of ANY prism?
1. a)
2. b)
3. c)
4. d)
6.
A triangular prism has a triangular base with base 8 cm and height 5 cm. The prism is 12 cm long. What is the volume in cm³?
7.
Find the surface area of a rectangular prism with length 8 cm, width 5 cm, and height 3 cm.
8.
A rectangular box holds 180 cm³ of water. If the base is 6 cm by 5 cm, what is the height of the box in cm?
9.
A triangular prism has a right-angled triangular base with legs 6 cm and 8 cm (hypotenuse 10 cm). The prism is 15 cm long. Find the surface area.
10.
Which of these is NOT a prism?
1. a)Rectangular prism
2. b)Triangular prism
3. c)Cube
4. d)Cylinder
11.
An aquarium is 50 cm long, 30 cm wide, and 40 cm tall. How many liters of water can it hold? (1 liter = 1000 cm³)
12.
A tent has a triangular cross-section with base 3 m and height 2 m. The tent is 4 m long. What is the volume of air inside in m³?
13.
A gift box is 20 cm × 15 cm × 10 cm. How much wrapping paper (in cm²) is needed to cover all sides?
14.
Two prisms have the same base area of 25 cm². One is 8 cm tall and the other is 12 cm tall. What is the difference in their volumes in cm³?
15.
A triangular prism has a base with sides 5 cm, 12 cm, and 13 cm (a right triangle). The prism is 20 cm long. Find its volume.