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, we first need to calculate the total surface area of the rectangular prism.
Total surface area of a rectangular prism = 2lw + 2lh + 2wh
Given:
Length (l) = 6 cm
Height (h) = 4 cm
Surface area = 188 cm^2
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 = 140 / 20
w = 7 cm
Therefore, the missing width of the rectangular prism is 7 cm.