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 ?(1 point)
To find the missing width of the rectangular prism, we can use the formula for the surface area of a rectangular prism:
Surface Area = 2(length x width + length x height + width x height)
Given:
Length = 6 cm
Height = 4 cm
Surface Area = 188 cm^2
Plugging in the given values into the formula:
188 = 2(6w + 6(4) + w(4))
188 = 2(6w + 24 + 4w)
188 = 2(10w + 24)
188 = 20w + 48
140 = 20w
w = 7
Therefore, the missing width of the rectangular prism is 7 cm.