what is the missing width of a rectangular prism with a length of 6cm, hight of 4cm, and a surface area of 188cm?
To find the missing width of the rectangular prism, we first need to calculate the surface area of the entire prism using the formula:
Surface Area = 2lw + 2lh + 2wh
Given:
Length (l) = 6 cm
Height (h) = 4 cm
Surface Area = 188 cm²
Plugging in the values:
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.