What is the missing width of a rectangular prism with a length of 6 cm, a height of 4 cm, and a surface area of 188 cm2 ?(1 point) cm
The formula for the surface area of a rectangular prism is given by:
Surface Area = 2lw + 2lh + 2wh
Where l is the length, w is the width, and h is the height of the rectangular prism.
Given:
Length (l) = 6 cm
Height (h) = 4 cm
Surface Area = 188 cm^2
Plugging in the values into the formula and solving for the missing width:
188 = 2(6)w + 2(4)6 + 2(4)w
188 = 12w + 48 + 8w
188 = 20w + 48
140 = 20w
w = 7 cm
Therefore, the missing width of the rectangular prism is 7 cm.