The formula for the surface area of a rectangular prism is SA = 2lw + 2lh + 2wh, where l is the length, w is the width, h is the height, and SA is the surface area.
Substituting the given values, we have:
432 = 2l(9) + 2(9)(9) + 2w(9)
432 = 18l + 162 + 18w
432 - 162 = 18l + 18w
270 = 18(l + w)
15 = l + w
Since the length and width are equal in a rectangular prism, we can substitute l = w and solve for one of them:
15 = 2l
l = 7.5
Therefore, the missing length of the rectangular prism is 7.5 cm.
What is the missing length of a rectangular prism where the height and width are both 9 cm and the surface area is 432 cm?
Please answer correctly and accurately. I cannot fail this test.
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