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

Lesson 5.55.5 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target With my small group, I can find the volume of a rectangular prism with whole-number edges using length × width × height — one step at a time, with support.

Remember5.5 Small Group · Group 1

The volume of a box is length × width × height, and the answer is in cubic units because it counts cubes. Volume is the number of unit cubes that fill a box. Multiply length × width × height.

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 box is 4 cm long, 3 cm wide, and 5 cm tall. Find its volume.

    Show your work

    Hint Multiply 4 × 3 first. Then multiply by 5.

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

    A box is 8 ft long, 3 ft wide, and 2 ft tall. Find its volume.

    Show your work

    Hint Multiply the length by the width. Then multiply by the height.

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

    A fish tank is 20 inches long, 10 inches wide, and 12 inches tall. How many cubic inches of water fill it?

    Show your work

    Hint The water fills the whole tank. Find the volume of the tank.

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

    Box A is 6 by 6 by 2 units. Box B is 4 by 4 by 5 units. How many more cubic units does the bigger box hold?

    Show your work

    Hint Find the volume of each box. Then subtract the smaller one.

    Final answer:

Explain your thinkingWhy do we multiply the three edges and not add them? Use Mo’s mistake and the layers of cubes to explain.

Sentence starter One layer has ___ cubes, and there are ___ layers. · Adding the edges does not work because ___.

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