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?

1 answer

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.