10.10 Story problems with volume
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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$\times$×Width$\times$×Height |
| $=$= | Base Area$\times$×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$\times$×Side Length$\times$×Side Length
Apply
Question 1
A swimming pool has a length of $9$9 m, width of $4$4 m and depth of $3$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\times11\times2$2×11×2 and $8\times2\times2$8×2×2
A$2\times11\times2$2×11×2 and $10\times2\times2$10×2×2
B$2\times9\times2$2×9×2 and $10\times2\times2$10×2×2
C$2\times9\times2$2×9×2 and $8\times2\times2$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