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