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11.05 Story problems with volume

Lesson

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$\times$×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.

  1. 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.

  1. 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

    D
  2. Find the volume of the T-shape.

 

Remember!

We can find the dimensions a rectangular prism in story problems using words like:

  • length
  • width
  • height
  • depth
  • thickness

 

Outcomes

5.MD.C.5

Relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume of right rectangular prisms.

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