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?
Let the missing width be "w".
The surface area of a rectangular prism can be calculated using the formula:
Surface area = 2lw + 2wh + 2lh
Substituting the given values, we get:
188 = 2(6)(w) + 2(4)(w) + 2(6)(4)
Simplifying:
188 = 12w + 8w + 48
188 = 20w + 48
20w = 140
w = 7
Therefore, the missing width of the rectangular prism is 7 cm.
To find the missing width of a rectangular prism, we need to use the formula for the surface area of a rectangular prism:
Surface Area = 2(length * width + length * height + width * height)
We are given:
Length = 6 cm
Height = 4 cm
Surface Area = 188 cm²
Let's substitute the given values into the formula:
188 = 2(6 * width + 6 * 4 + width * 4)
Now, let's simplify the equation:
188 = 12 * width + 24 + 4 * width
Combine the like terms:
188 = 16 * width + 24
Subtract 24 from both sides:
188 - 24 = 16 * width
164 = 16 * width
Divide both sides by 16:
164/16 = width
The missing width of the rectangular prism is 10.25 cm.
So, the missing width of the rectangular prism is 10.25 cm.
To find the missing width of the rectangular prism, we need to use the formula for the surface area of a rectangular prism, which is:
Surface Area = 2(length * width + length * height + width * height)
Given values:
Length = 6 cm
Height = 4 cm
Surface Area = 188 cm^2
Substituting the given values into the formula, we have:
188 = 2(6 * width + 6 * 4 + width * 4)
Simplifying this equation, we get:
188 = 12width + 24 + 4width
Combining like terms:
188 = 16width + 24
Subtracting 24 from both sides of the equation:
164 = 16width
Dividing both sides by 16:
width = 10.25 cm
Therefore, the missing width of the rectangular prism is 10.25 cm.