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

Lesson 5.55.5 Small Group · Group 2

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

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target I can find the volume of a rectangular prism with whole-number edges using length × width × height, explain why the method works, and use it on a problem I have not seen before.

Remember5.5 Small Group · Group 2

Volume is base area times height, so dividing the volume by the base area tells how many layers tall the box is. If you know the volume and two edges, you can find the missing edge by dividing.

Words: Volume (Volumen)Rectangular prism (Prisma rectangular)Cubic units (Unidades cúbicas)Length, width, height (Largo, ancho, altura)Net (Plantilla (desarrollo plano))

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

    A sandbox is 8 ft long and 5 ft wide. It holds 80 cubic feet of sand. How deep is the sand?

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

    A box has a volume of 105 cubic inches. It is 7 inches long and 5 inches wide. How tall is it?

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

    A cereal box holds 300 cubic inches. It is 10 inches tall and 2 inches deep. How wide is it?

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

    A box has a square base and a height of 5 cm. Its volume is 180 cubic centimeters. How long is each side of the base?

    Show your work
    Final answer:

Explain your thinkingVolume = base area × height. Explain why dividing the volume by the base area tells you how many layers tall a box is.

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