Please help me with the following:
The volume of a prism is found by multiplying the area of the base by the height. A rectangular prism has a volume of 144cm^3, and a square base with a width of 3 cm. What is the height of the prism, in cm?
A. 4
B. 8
C. 48\
......--Both of these are possible answers for
......--me, but I mostly think 16 as my answer.
D. 16/
I am very confused on this. Please help me, and it will be greatly appreciated. :)
I dont think that was the right answer...\
area of base = 9, so
9*height = 144
height = 16
Thank you Steve, I appreciate it. :)
(Also, I'm sorry that it took me a while to post again from when you answered.)
To find the height of the prism, we need to rearrange the volume formula for a prism. First, let's determine the area of the base. Since the base of the prism is square-shaped with a width of 3 cm, the area is given by:
Area of base = width * width = 3 cm * 3 cm = 9 cm²
Now, we can rearrange the volume formula to solve for height:
Volume = Area of base * Height
Given that the volume is 144 cm³ and the area of the base is 9 cm², we can substitute these values into the formula:
144 cm³ = 9 cm² * Height
Now, let's solve for the height:
Height = 144 cm³ / 9 cm²
Height = 16 cm
Therefore, the height of the rectangular prism is 16 cm. So, the correct answer is D. 16