Find the difference between l and the other sides of the prism.
B
b
Use the dimensions from Part A and the formula for the volume of a prism to find the volume.
A
a
w=(l-10), h=(l-6)
B
b
l^3-16l^2+60l
Practice makes perfect
a
To write the other dimensions in terms of l, we need to find the difference between each dimension and the length. Let's start with 4.
14-4 =10
Since the difference is 10, we can write the 4 side in terms of l as, l-10. We can use this same method to write the 8 side as, l-6.
b
We can create a polynomial for the volume of the prism in terms of l using the answer from Part A. The volume will be the product of all three dimension.
l ( l-10)( l -6)
Next, we can simplify the expression.
