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 ?(
To find the missing width of the rectangular prism, we first need to calculate the total surface area of all the faces of the prism.
Given:
Length = 6 cm
Height = 4 cm
Surface Area = 188 cm2
The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Substitute the given values into the formula:
188 = 2(6)(w) + 2(4)(6) + 2(w)(4)
188 = 12w + 48 + 8w
188 = 20w + 48
140 = 20w
w = 7 cm
Therefore, the missing width of the rectangular prism is 7 cm.