Word problem involving the surface area of a Rectangular Prism Online Quiz
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Q 1 - What is the surface area of a figure that is 8 inches wide, 8 inches tall and 9 inches long?
Answer : A
Explanation
Step 1:
Surface area of figure = 2 (lw + wh + lh) l = 9 in; w = 8 in; h = 8 in
Step 2:
Surface area = 2(9 × 8 + 9 × 8 + 8 × 8) = 416 square inches
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Q 2 - What is the surface area of a figure that is 5 inches wide, 8 inches tall and 7 inches long?
Answer : C
Explanation
Step 1:
Surface area of figure = 2 (lw + wh + lh) l = 7 in; w = 5 in; h = 8 in
Step 2:
Surface area = 2(7 × 5 + 7 × 8 + 5 × 8) = 262 square inches
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Q 3 - A rectangular prism has a width of 10 cm, a height of 3 cm and a depth of 7 cm. What is the surface area of the prism?
Answer : B
Explanation
Step 1:
Surface area of figure = 2 (lw + wh + lh) l = 7 cm; w = 10 cm; h = 3 cm
Step 2:
Surface area = 2(7 × 10 + 7 × 3 + 3 × 10) = 242 square inches
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Q 4 - A cube has width of 12 m. What is the surface area of the cube?
Answer : D
Explanation
Step 1:
Surface area of cube = 6 a2; a = 12 m
Step 2:
Surface area = 6 × 12 × 12 = 864 square m
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Q 5 - A rectangular prism has a width of 10 mm, a height of 5 mm and a depth of 5 mm. What is the surface area of the prism?
Answer : B
Explanation
Step 1:
Surface area of figure = 2 (lw + wh + lh) l = 5 mm; w = 10 mm; h = 5 mm
Step 2:
Surface area = 2(5 × 10 + 5 × 5 + 5 × 10) = 250 square mm
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Q 6 - A rectangular prism has a width of 4 m, a height of 9 m and a depth of 2 m. What is the surface area of the prism?
Answer : A
Explanation
Step 1:
Surface area of figure = 2 (lw + wh + lh) l = 2 m; w = 4 m; h = 9 m
Step 2:
Surface area = 2(2 × 4 + 2 × 9 + 4 × 9) = 124 square m
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Q 7 - A cube has width of 5 cm. What is the surface area of the cube?
Answer : C
Explanation
Step 1:
Surface area of cube = 6 a2; a = 5 cm
Step 2:
Surface area = 6 × 5 × 5 = 150 square cm
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Q 8 - A cube has height of 11 cm. What is the surface area of the cube?
Answer : D
Explanation
Step 1:
Surface area of cube = 6 a2; a = 11 cm
Step 2:
Surface area = 6 × 11 × 11 = 726 square cm
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Q 9 - What is the surface area of a figure that is 7 inches wide, 6 inches tall and 8 inches long?
Answer : B
Explanation
Step 1:
Surface area of figure = 2 (lw + wh + lh) l = 8 in; w = 7 in; h = 6 in
Step 2:
Surface area = 2(8 × 7 + 8 × 6 + 7 × 6) = 292 square inches
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Q 10 - What is the surface area of a figure that is 6 inches wide, 4 inches tall and 5 inches long?
Answer : C
Explanation
Step 1:
Surface area of figure = 2 (lw + wh + lh) l = 5 in; w = 6 in; h = 4 in
Step 2:
Surface area = 2(5 × 6 + 5 × 4 + 6 × 4) = 148 square inches
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