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)
cm
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*width + width*height + length*height)
Given that the length is 6 cm, the height is 4 cm, and the surface area is 188 cm², we can substitute these values into the formula:
188 = 2*(6*width + width*4 + 6*4)
Simplifying this equation, we get:
188 = 2*(6w + 4w + 24)
188 = 2*(10w + 24)
188 = 20w + 48
Subtracting 48 from both sides:
140 = 20w
Finally, we can divide both sides by 20 to solve for the missing width:
w = 140/20
w = 7
Therefore, the missing width of the rectangular prism is 7 cm.