The formula for the surface area of a rectangular prism is SA = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.
Given that the height and width are both 9 cm and the surface area is 432 cm2, we can plug in the values into the formula:
432 = 2(9)(9) + 2(9)l + 2(9)l
Simplify:
432 = 162 + 18l + 18l
432 = 162 + 36l
Subtract 162 from both sides:
432 - 162 = 36l
270 = 36l
Divide by 36:
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 cm2 ?(1 point)
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1 answer
1 answer