Answer:
Part 1) The volume of the storage body is 576 cubic feet
Part 2) To find out how many boxes can she fit in the storage body, divide the volume of the storage body by the volume of each box
Part 3) Sheila can fit 64 boxes into the truck
Step-by-step explanation:
step 1
Find the volume of the storage body
we know that
The volume of the of the storage body is equal to the volume of two rectangular prism
The volume of a rectangular prism is equal to
[tex]V=LWH[/tex]
First rectangular prism (top)
[tex]V=(15)(6)(8-6)=180\ ft^3[/tex]
Second rectangular prism (bottom)
[tex]V=(15-4)(6)(6)=396\ ft^3[/tex]
The volume of the storage body is
[tex]V=180+396=576\ ft^3[/tex]
step 2
we know that
To find out how many boxes can she fit in the storage body, divide the volume of the storage body by the volume of each box
step 3
substitute the given values
[tex]\frac{576}{9}= 64\ boxes[/tex]
therefore
Sheila can fit 64 boxes into the truck
