The figure below shows a container that is a square prism with base side length b and a hollow section (shaded region) that is a square prism with base side length b. if the height h of both prisms is the same, write an expression to represent the volume of the container. express your answer in completely factored form.

we know that

The volume of a square prism is equal to

where

A is the area of the base of the prism

H is the height of the prism

The volume of the container is equal to the volume of the larger prism minus the volume of the smaller prism

Step 1

Find the volume of the larger prism

In this case

Step 2

Find the volume of the smaller prism

In this case

Step 3

Find the volume of the container

The volume of the container is equal to the volume of the larger prism minus the volume of the smaller prism

so

Simplify

Difference of squares

therefore

the answer is

were is the chart?

step-by-step explanation:

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !