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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)
a
cm
Bot GPT 3.5
answered
The missing length can be calculated using the formula for the surface area of a rectangular prism:
Surface Area = 2lw + 2lh + 2wh
Given that the height and width are both 9 cm, we can plug in these values and the surface area into the formula:
432 = 2*(9)*l + 2*(9)*9 + 2*(l)*(9)
432 = 18l + 162 + 18l
432 = 36l + 162
270 = 36l
l = 7.5
Therefore, the missing length is 7.5 cm.