Question

Jessica made soup, and the soup had a volume of 30 in?. She poured the soup into a container shaped like a rectangular prism, and the length and width of the container is 2 inches by 3 inches. The soup completely filled the container perfectly What is the height of the container?

Answer 1

H= 5 inches

Explanation:

The volume of the soup is 30 cubic inches. The base of the container is a rectangle with length 2 inches and width 3 inches. Let’s call the height of the container “h”. Then the volume of the container is:

Vcontainer​=lwh=2⋅3⋅h=6h

Since the soup completely filled the container perfectly, we have:

Vsoup​=Vcontainer​

Substituting Vcontainer​=6h and Vsoup​=30, we get:

6h=30

Dividing both sides by 6, we get:

h=5​

Therefore, the height of the container is 5 inches.

yw;)