What is the surface area of a rectangular prism with l = 14 in., w = 12 in., and h = 4 in.? *
Show your work and solution below.
I don't know how to solve this please help ASAP!
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To find the surface area of a rectangular prism, you need to calculate the area of each of its six faces and then add them together.
The formula for finding the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given:
Length (l) = 14 in.
Width (w) = 12 in.
Height (h) = 4 in.
Now, substitute the given values into the formula:
Surface Area = 2(14)(12) + 2(14)(4) + 2(12)(4)
Multiply each pair of numbers:
Surface Area = 2(168) + 2(56) + 2(48)
Simplify the arithmetic:
Surface Area = 336 + 112 + 96
Add the terms together:
Surface Area = 544 + 96
Calculate the final result:
Surface Area = 640 in²
Therefore, the surface area of the rectangular prism with length 14 inches, width 12 inches, and height 4 inches is 640 square inches.