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 calculate the surface area of the prism using the formula:
Surface Area = 2lw + 2lh + 2wh
Given:
Length = 6 cm
Height = 4 cm
Surface Area = 188 cm^2
Now substitute the values into the formula:
188 = 2(6)(x) + 2(4)(6) + 2(4)(x)
188 = 12x + 48 + 8x
188 = 20x + 48
140 = 20x
x = 7
Therefore, the missing width of the rectangular prism is 7 cm.