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

Lesson 5.105.10 · Part II

Apply Day · Set BSecond 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.

Remember5.10 · Part II

Volume of Rectangular Prisms with Fractional Edges

  1. Convert mixed numbers to improper fractions before multiplying
  2. Multiply numerators across, multiply denominators across: V = (l · w · h)
  3. Simplify the fraction and label with cubic units

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.
    2 cm0.5 cm2 cm

    A box is 2 cm long, 2 cm wide, and 0.5 cm tall. Find its volume.

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

    A time capsule is 3 ft long, 1.5 ft wide, and 2 ft tall. Find its volume.

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

    A box has a volume of 10 1/2 cubic feet. Its base is 3 ft by 2 ft. How tall is the box?

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

    A sandbox is 6 ft long and 4 ft wide. It is filled with sand 1/2 ft deep. How many cubic feet of sand are in it?

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

    What is the volume of a rectangular prism with l = 4 in, w = 3 in, h = 5 in?

    1. A12 in³
    2. B24 in³
    3. C60 in³
    4. D60 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 box has a volume of 36 cm³. Its length is 6 cm and width is 3 cm. What is the height?

    1. A2 cm
    2. B3 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.

    How is volume different from area?

    1. AVolume uses cubic units; area uses square units
    2. BVolume uses square units; area uses cubic units
    3. CVolume only applies to cubes; area applies to all shapes
    4. DThere is no difference
    Show your work
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