The missing length is 4 cm.
Explanation:
Let the missing length be x.
The surface area of a rectangular prism can be found using the formula:
Surface area = 2lw + 2lh + 2wh
Given:
Height = 9 cm
Width = 9 cm
Surface area = 432 cm2
Substituting these values, we get:
432 = 2x9xw + 2x9xh + 2x9xw
Simplifying, we get:
432 = 36w + 36h
Dividing both sides by 36:
12 = w + h
Substituting the given height and width, we get:
12 = 9 + x
Simplifying, we get:
x = 3
Therefore, the missing length is 4 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)
1 answer
1 answer