Math
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?
Let the missing length be x. The surface area of a rectangular prism is given by the formula:
Surface area = 2 (length × width + length × height + width × height)
We know the surface area is 432 cm², the width is 9 cm, and the height is 9 cm. Plugging these values into the formula, we get:
432 = 2 (9×9 + 9×x + 9×9)
432 = 2 (81 + 9x + 81)
Now, we will solve for x:
432 = 2 (162 + 9x)
216 = 162 + 9x
54 = 9x
x = 6
So, the missing length is 6 cm.