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

Lesson 5.5Missing and Fractional Edges

Start hereWords, worked example, and sentence starters

Name Date Period

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

Start hereWords for this lesson

Read each word before you begin. Say it out loud.

WordWhat it meansExample
VolumeSpanish: Volumen How much space is inside a solid shape. V = l × w × h
Rectangular prismSpanish: Prisma rectangular A solid box shape with six flat rectangle sides. A cereal box or shoe box — it has length, width, and height
Cubic unitsSpanish: Unidades cúbicas The units used to measure space inside, like cubic inches. cm³, in³, ft³
Length, width, heightSpanish: Largo, ancho, altura How long, how wide, and how tall a box is. V = l × w × h: for a box 5 × 3 × 2, volume = 30 cubic units
NetSpanish: Plantilla (desarrollo plano) A flat shape that folds up into a solid. A cross-shaped pattern of 6 rectangles folds into a rectangular box
EdgeSpanish: Arista The line where two flat sides of a solid meet. A cube has 12 edges — 4 along the top, 4 along the bottom, 4 vertical

How it worksWorked example

These numbers are not on your problems. The steps are. Follow them with your own numbers.

A box holds 72 cm³. It is 6 cm long and 4 cm wide.

  1. Known edges: 6 × 4 = 24 cm².
  2. Divide: 72 ÷ 24 = 3.
  3. Check: 6 × 4 × 3 = 72.

Answer: height = 3 cm

Say it and write itSentence starters

Finish each sentence out loud with a partner. Then use them in your writing.

  • The volume is and the edges I know are and .
  • I multiplied the two known edges and got .
  • The missing edge is because .
  • A fractional edge makes the volume than the base area.

Word bank volumedimensionedgebase areaheightcubic unitsmultiplydividemissingfractionhalfproduct

Watch out!A common mistake

A common mistake in Volume with Whole Number Edges is multiplying only two of the three edges and stopping there

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

Lesson 5.5Missing and Fractional Edges

Apply Day · Version ASupported practice

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

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

  1. 1Complete each step, then write the final answer.
    2 units3 units2 units

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

    Show your work

    Hint Count the cubes in one layer. Then multiply by the layers.

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

    A box is 5 cm long, 4 cm wide, and 2 cm tall. Find its volume.

    Show your work

    Hint Multiply 5 × 4 first. Then multiply by 2.

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

    A box is 7 in long, 3 in wide, and 2 in tall. Find its volume.

    Show your work

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

    Final answer:
3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help
Grade 6 Mathematics · Unit 5: Solve Area, Surface Area, and Volume ProblemsStandard 6.GR.2

Lesson 5.5Missing and Fractional Edges

Apply Day · Version BCore practice

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

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

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

    Mo says a box 6 cm long, 2 cm wide, and 3 cm tall has a volume of 11 cubic centimeters, because 6 + 2 + 3 = 11. What is the correct volume?

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

    A box has a base area of 35 square centimeters. Its height is 6 cm. Find its volume.

    Show your work
    Final answer:
  3. 3Complete 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
    Final answer:
3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help
Grade 6 Mathematics · Unit 5: Solve Area, Surface Area, and Volume ProblemsStandard 6.GR.2

Lesson 5.5Missing and Fractional Edges

Apply Day · ChallengeExtension

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

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

  1. 1Circle the letter of the best answer. Show how you know.

    A rectangular time capsule container measures 8 inches long, 5 inches wide, and 3 inches tall. What is its volume?

    1. A16 cubic inches
    2. B40 cubic inches
    3. C120 cubic inches
    4. D158 cubic inches
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  2. 2Circle the letter of the best answer. Show how you know.

    Box A is 8 in by 5 in by 3 in. Box B is 6 in by 4 in by 5 in. Which box holds more?

    1. ABox A
    2. BBox B
    3. CThey hold the same amount
    Show your work
  3. 3Complete 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-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help