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 cm2
To find the missing width of the rectangular prism, we first need to find the total surface area of the prism using the formula:
Surface Area = 2lw + 2lh + 2wh
Given length = 6 cm, height = 4 cm and total surface area = 188 cm^2, we can plug in the values and solve for the missing width:
188 = 2(6)(w) + 2(6)(4) + 2(w)(4)
188 = 12w + 48 + 8w
188 = 20w + 48
140 = 20w
w = 7
Therefore, the missing width of the rectangular prism is 7 cm.