Grade 6 Mathematics · Unit 5: Solve Area, Surface Area, and Volume ProblemsStandard 6.GR.2

Lesson 5.105.10 Small Group · Group 2

Group 2 · Set BSecond challenge form · new problems, same idea

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Learning target I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height, explain why the method works, and use it on a problem I have not seen before.

Remember5.10 Small Group · Group 2

Volume is base area times height for any edge lengths, so a box that is 1/2 unit tall holds half of one layer. With mixed numbers, write each edge as a fraction first. Then multiply base area by height.

Words: Volume (Volumen)Rectangular prism (Prisma rectangular)Cubic units (Unidades cúbicas)Dimensions (Dimensiones)Base area (Área de la base)

  1. 1Complete each step, then write the final answer.

    A drawer is 3 1/2 ft long, 2 ft wide, and 1/2 ft tall. Find its volume.

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    A box is 1 1/2 m long, 1 1/2 m wide, and 2 m tall. Find its volume.

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.

    A brick is 8 in long, 3 3/4 in wide, and 2 1/4 in tall. What is its volume?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.

    A tank is 3 ft long, 2 ft wide, and 2 1/2 ft tall. Water fills it to 4/5 of its height. How many cubic feet of water are in the tank?

    Show your work
    Final answer:

Explain your thinkingWhy does V = B × h still work when the height is a fraction? Use layers of cubes to explain.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help