What is the missing width of a rectangle prism with a length of 6 cm and height of 4 cm and a surface area of 188 cm2
Let the width be x cm.
We know that the surface area (SA) of a rectangular prism can be found using the formula:
SA = 2lw + 2lh + 2wh
Plugging in the given values and the unknown width, we get:
188 = 2(6)(4) + 2(6)(x) + 2(4)(x)
Simplifying:
188 = 48 + 12x + 8x
188 = 48 + 20x
140 = 20x
x = 7
Therefore, the missing width of the rectangular prism is 7 cm.