What is the missing width of a rectangular prism with a length of 6cm 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 surface area of the prism using the formula:
Surface Area = 2lw + 2lh + 2wh
Given that the length (l) is 6 cm and the height (h) is 4 cm, and the surface area is 188 cm^2, we can substitute these values into the formula:
188 = 2(6)(w) + 2(6)(4) + 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.