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