11.05 Story problems with volume
Are you ready?
Can you find the volume of a rectangular prism? Let's try this problem to practice.
Find the volume of the rectangular prism shown.
Learn
Remember that we can find the volume of a rectangular prism using two different formulas:
| Volume of a rectangular prism | $$= | Length$$×Width$$×Height |
| $$= | Base Area$$×Height |
Cubes are special rectangular prisms which have all its dimensions the same, so they have the volume formula:
Volume of a cube $$= Side Length$$×Side Length$$×Side Length
Apply
Question 1
A swimming pool has a length of $$9 m, width of $$4 m and depth of $$3 m.
Find the volume of the swimming pool in m3.
Learn
We can find the total volume of multiple prisms by adding their volumes together.
Apply
question 2
Herschel makes a T-shape by placing one rectangular prism block on top of another.
Which option shows the dimensions of the two rectangular prisms that Herschel used?
$$2×11×2 and $$8×2×2
A$$2×11×2 and $$10×2×2
B$$2×9×2 and $$10×2×2
C$$2×9×2 and $$8×2×2
DFind the volume of the T-shape.
We can find the dimensions a rectangular prism in story problems using words like:
- length
- width
- height
- depth
- thickness