Surface Area of Rectangular Prisms

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Show your work for each problem.

1.
A rectangular prism has 6 faces. How do they come in groups?
1. a)6 different faces
2. b)2 groups of 3 faces
3. c)1 pair and 4 single faces
4. d)3 pairs of matching faces
2.
What units are used to measure surface area?
1. a)Cubic units (cm³, m³)
2. b)Linear units (cm, m)
3. c)Square units (cm², m²)
4. d)No units needed
3.
A cube has all sides equal to 2 cm. What is the area of ONE face?
4.
A cube has sides of 3 cm. What is its total surface area? (Use SA = 6s²)
5.
Find the surface area of a box with length 4 cm, width 3 cm, and height 2 cm.
6.
Which expression correctly represents the surface area of a box with length 5, width 4, and height 3?
1. a)
2. b)
3. c)
4. d)
7.
A rectangular prism has dimensions 6 cm × 5 cm × 4 cm. Find its surface area.
8.
A gift box is 10 cm long, 8 cm wide, and 6 cm high. How many square centimeters of wrapping paper are needed?
9.
A storage container is 2 m long, 1.5 m wide, and 1 m high. Find its surface area in square meters.
10.
One can of paint covers 50 m². The surface area of a room's walls is 120 m². How many cans are needed?
1. a)3 cans
2. b)2 cans
3. c)4 cans
4. d)2.4 cans
11.
An aquarium is 60 cm long, 30 cm wide, and 40 cm high. Find the surface area of all 6 sides.
12.
A rectangular prism has a surface area of 94 cm². Its length is 5 cm and width is 3 cm. What is its height?
13.
If you double all dimensions of a rectangular prism, the surface area becomes:
1. a)6 times as large
2. b)2 times as large
3. c)8 times as large
4. d)4 times as large
14.
A box has length 8 cm, width 6 cm, and surface area 236 cm². Find the height.
15.
A rectangular prism has dimensions 12 cm × 9 cm × 7 cm. What is its surface area?
16.
Two boxes have the same volume of 60 cm³. Box A is 5×4×3 cm. Box B is 6×5×2 cm. Which has greater surface area?