A rectangular prism has a volume of 9 inches 3 cubed. The area of the base is 4 inches to 2 cubed. What is the height of the prism? Please show the steps to get the answer
Volume of your solid = area of base * height
9 = 4 * height
height = 9/4 inches
2.25 my answer???
To find the height of the rectangular prism, we can use the formula for volume of a rectangular prism:
Volume = Base Area × Height
Given:
Volume = 9 inches^3
Base Area = 4 inches^2
Step 1: Substitute the given values into the formula:
9 inches^3 = 4 inches^2 × Height
Step 2: Solve for Height by dividing both sides of the equation by 4 inches^2:
Height = 9 inches^3 / 4 inches^2
Step 3: Simplify the expression:
Height = 2.25 inches (since 9 divided by 4 is 2.25)
Therefore, the height of the prism is 2.25 inches.