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Question

The dimensions of the rectangular prism is 8 in×4 in×6 in. The total surface area of a rectangular prism is x3 in2. Find the value of x.

A
208
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B
624
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C
208 in2
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D
624 in2
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Solution

The correct option is B 624
Let's draw a rectangular prism with dimensions given in the questions.
Given,
Length of the rectnagular prism l=8 in
Breadth of the rectnagular prism b=4 in
Height of the rectnagular prism w=6 in

As we know,
The total surface area of a rectangular prism =2(lb)+2(bh)+2(lh)

(Given, total surface area =x3)
x3=(2×8×4)+(2×4×6)+(2×8×6)

x3=64+48+96

x3=208 m2

x=208×3=624

Option (b) is correct.

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