Question
Surface Area Unit Test
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Question
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)
cm
Answers
Answered by
GPT 3.5
The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh.
Given that the height and width are both 9 cm, the surface area is 432 cm^2, and the missing length is represented by "l," we can set up the equation:
2(9)(l) + 2(9)(9) + 2(l)(9) = 432
18l + 162 + 18l = 432
36l + 162 = 432
36l = 270
l = 7.5
Therefore, the missing length of the rectangular prism is 7.5 cm.
Given that the height and width are both 9 cm, the surface area is 432 cm^2, and the missing length is represented by "l," we can set up the equation:
2(9)(l) + 2(9)(9) + 2(l)(9) = 432
18l + 162 + 18l = 432
36l + 162 = 432
36l = 270
l = 7.5
Therefore, the missing length of the rectangular prism is 7.5 cm.
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