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

Lesson 5.5Missing and Fractional Edges

Apply Day · Set BSecond form · new problems, same idea

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Learning target I can find the volume of a rectangular prism with whole-number edges using length × width × height.

Remember5.5 · Part II

Volume of Rectangular Prisms (Whole Numbers)

  1. Identify the length, width, and height of the box
  2. Multiply base area (l × w) by height (h)
  3. Label answer in cubic units (e.g. in³, cm³, ft³)

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.
    3 units2 units3 units

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

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

    A box is 10 in long, 6 in wide, and 4 in tall. Find its volume.

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

    A box is 2 ft long, 5 ft wide, and 3 ft tall. You double only the height. What is the new volume?

    Show your work
    Final answer:
  4. 4Complete 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
    Final answer:
  5. 5Complete 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:
  6. 6Complete 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:
  7. 7Circle the letter of the best answer. Show how you know.

    What is the volume of a rectangular prism with l = 7 in, w = 3 in, h = 4 in?

    1. A14 in³
    2. B42 in³
    3. C84 in³
    4. D84 in²
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  8. 8Circle the letter of the best answer. Show how you know.

    A time capsule box has a volume of 120 cm³. Its length is 10 cm and width is 4 cm. What is its height?

    1. A3 cm
    2. B4 cm
    3. C6 cm
    4. D12 cm
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  9. 9Circle the letter of the best answer. Show how you know.

    Which unit is used for volume?

    1. ASquare inches (in²)
    2. BCubic inches (in³)
    3. CInches (in)
    4. DDegrees (°)
    Show your work
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