a rectangular prism has a volume of 108 inchescubed the length is 9 inches the width is 3 inches what is the height of the rectangular prism
9*3*x = 108
x = 4
To find the height of the rectangular prism, we can use the formula for the volume of a rectangular prism, which is given by:
Volume = length x width x height
We are given the volume as 108 inches cubed, the length as 9 inches, and the width as 3 inches. Let's substitute these values into the formula:
108 = 9 x 3 x height
Now, let's solve for the height:
108 = 27 x height
To isolate the height, we divide both sides of the equation by 27:
height = 108 / 27
height = 4
Therefore, the height of the rectangular prism is 4 inches.
To find the height of the rectangular prism, we can use the formula for the volume of a rectangular prism: V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
Given:
Volume (V) = 108 inches³
Length (l) = 9 inches
Width (w) = 3 inches
Plugging in the values into the formula, we have:
108 = 9 × 3 × h
108 = 27h
To find the height (h), we need to isolate it. We can do this by dividing both sides of the equation by 27:
108/27 = 27h/27
4 = h
Therefore, the height of the rectangular prism is 4 inches.