What is the missing width of a rectangular prism with a length of 6cm a height of 4cm and a surface area of 188cm^2
To find the missing width of the rectangular prism, we can use the formula for the surface area of a rectangular prism:
Surface Area = 2lw + 2lh + 2wh
Given:
Length (l) = 6cm
Height (h) = 4cm
Surface Area = 188cm^2
Substitute the given values into the formula and solve for the missing width (w):
188 = 2(6)(w) + 2(6)(4) + 2(w)(4)
188 = 12w + 48 + 8w
188 = 20w + 48
20w = 140
w = 7
Therefore, the missing width of the rectangular prism is 7cm.