Worked example
A closed rectangular prism has length 2 cm, width 3 cm and height 4 cm. What is its total surface area in square centimeters?
Answer & why
Answer: 52
There are three equal pairs of faces: 2(6 + 8 + 12) = 52 square centimeters.
Grade 6 · Math
Find a prism’s total surface area
Find the combined area of all six rectangular faces.
8 authored questions + worked example
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All questions
All 8 authored questions for this skill.
Question 1
A closed rectangular prism has length 5 cm, width 6 cm and height 8 cm. What is its total surface area in square centimeters?
- 235
- 238
- 236
- 237
A hint
Find the area of each face, including both faces in every pair.
Answer & why
Answer: 236
There are three equal pairs of faces: 2(30 + 40 + 48) = 236 square centimeters.
Question 2
A closed rectangular prism has length 3 cm, width 7 cm and height 8 cm. What is its total surface area in square centimeters?
- 204
- 203
- 202
- 201
A hint
Find the area of each face, including both faces in every pair.
Answer & why
Answer: 202
There are three equal pairs of faces: 2(21 + 24 + 56) = 202 square centimeters.
Question 3
A closed rectangular prism has length 2 cm, width 3 cm and height 4 cm. What is its total surface area in square centimeters?
- 54
- 52
- 51
- 53
A hint
Find the area of each face, including both faces in every pair.
Answer & why
Answer: 52
There are three equal pairs of faces: 2(6 + 8 + 12) = 52 square centimeters.
Question 4
A closed rectangular prism has length 3 cm, width 4 cm and height 5 cm. What is its total surface area in square centimeters?
- 96
- 95
- 94
- 93
A hint
Find the area of each face, including both faces in every pair.
Answer & why
Answer: 94
There are three equal pairs of faces: 2(12 + 15 + 20) = 94 square centimeters.
Question 5
A closed rectangular prism has length 2 cm, width 5 cm and height 6 cm. What is its total surface area in square centimeters?
- 103
- 105
- 106
- 104
A hint
Find the area of each face, including both faces in every pair.
Answer & why
Answer: 104
There are three equal pairs of faces: 2(10 + 12 + 30) = 104 square centimeters.
Question 6
A closed rectangular prism has length 4 cm, width 5 cm and height 6 cm. What is its total surface area in square centimeters?
- 150
- 148
- 147
- 149
A hint
Find the area of each face, including both faces in every pair.
Answer & why
Answer: 148
There are three equal pairs of faces: 2(20 + 24 + 30) = 148 square centimeters.
Question 7
A closed rectangular prism has length 3 cm, width 6 cm and height 7 cm. What is its total surface area in square centimeters?
- 161
- 164
- 163
- 162
A hint
Find the area of each face, including both faces in every pair.
Answer & why
Answer: 162
There are three equal pairs of faces: 2(18 + 21 + 42) = 162 square centimeters.
Question 8
A closed rectangular prism has length 2 cm, width 4 cm and height 9 cm. What is its total surface area in square centimeters?
- 123
- 125
- 126
- 124
A hint
Find the area of each face, including both faces in every pair.
Answer & why
Answer: 124
There are three equal pairs of faces: 2(8 + 18 + 36) = 124 square centimeters.