1
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Question

# The total surface area of all six sides of the rectangular box is equal to 80 square inches. What is the volume of the rectangular box in inches cubed?

A
40
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B
48
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C
12
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D
30
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Solution

## The correct option is B 48We will first find the total area of all the six sides of the box by taking the third side as xThe area of the left and the right sides =4x+4x=8xThe area of the front and back sides =4x+4x=8xThe area of the top and bottom sides =16+16=32 sq. inchesNow to find the value of x, we get the equation as80= 8x+8x+32= 16x+32∴16x=80−32∴16x=48∴x=4816∴x=3Volume of the rectangular box = 4×4×3 inches cubed.The correct answer is option B i.e. 48.

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