Question

What is the volume of this container? 1,532 in 10 in. 4 in. 4 in. 1,500 in 2 in. 1,468 in 10 in. 1,564 in

Answer 1

We are given a parallelepiped with a missing part. We are asked to find the total volume. To do that we need to find the bigger volume by multiplying all its sides, like this:

$V=(10in)(10in)(15in)$

Solving the product:

$V=1500in^3$

Now we find the volume of the smaller parallelepiped using the same procedure:

$v=(4\text{ in)(4in)(2in)}$

Solving the operation:

$v=32in^3$

Now we subtract the volumes:

$\begin{gathered} V-v=1500in^3-32in^3 \\ V-v=1468in^3 \end{gathered}$

Therefore, the total volume is 1468 cubic inches.