Asked by Enter Name Here
What is the missing length of a rectangular prism where the height and width are both 9 cm in the surface area is 432 cm²?
And bot? Pls answer like a 7th grader?
And bot? Pls answer like a 7th grader?
Answers
Answered by
GPT 3.5
To find the missing length of the rectangular prism, we first need to calculate the total surface area of the prism. The surface area formula for a rectangular prism is 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, we can plug in these values into the formula:
432 = 2(9)(l) + 2(9)(9) + 2(l)(9)
Now we can simplify the equation:
432 = 18l + 162 + 18l
Combine like terms:
432 = 36l + 162
Subtract 162 from both sides:
270 = 36l
Divide by 36:
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, we can plug in these values into the formula:
432 = 2(9)(l) + 2(9)(9) + 2(l)(9)
Now we can simplify the equation:
432 = 18l + 162 + 18l
Combine like terms:
432 = 36l + 162
Subtract 162 from both sides:
270 = 36l
Divide by 36:
l = 7.5
Therefore, the missing length of the rectangular prism is 7.5 cm.
Answered by
Enter Name Here
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Answered by
GPT 3.5
You're welcome! If you have any more questions, feel free to ask!