6.GR.2 Lesson 5-10-group1 🟡 Group 1 · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

5.10 Small Group · Group 1

Second Practice Form · Re-Teach, Homework or Retake · Same Standard, New Problems

Volume of Rectangular Prisms · Volume · Procedural Fluency · Real-World Applications

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: Let's build it together — How do we find volume when an edge is a fraction?
1A fractional edge does not change the rule: still multiply length × width × height.
  • Volume is the space inside a rectangular prism. The rule V = length × width × height stays the same even when one edge is a fraction or decimal. You can also use volume = base area × height. We'll walk through a worked example, try one together, then you'll try a few with hints right there when you need them.
2Worked Example — Watch me
  1. My capsule is 2 ft long, 1.5 ft wide, and 1 ft tall. I write V = length × width × height.
  2. I put in the numbers: V = 2 × 1.5 × 1.
  3. First I multiply 2 × 1.5 = 3.
  4. Then 3 × 1 = 3.
  5. So the volume is 3 ft³. A fractional edge like 1.5 did not change my steps at all.
3Mathematical Word Bank
  • Volume of Rectangular Prisms (Volumen de prismas rectangulares) — The space inside a rectangular prism. Formula: V = Bh = l × w × h.
  • Volume (Volumen) — How much space is inside a solid shape.
  • Rectangular prism (Prisma rectangular) — A solid box shape with six flat rectangle sides.
  • Cubic units (Unidades cúbicas) — The units used to measure space inside, like cubic inches.
  • Dimensions (Dimensiones) — How long, how wide, and how tall a shape is.
  • Base area (Área de la base) — The area of the bottom of a solid. Volume = base area × height.
4Watch out
  • A common mistake in Volume of Rectangular Prisms is rounding a fractional edge length to the nearest whole number before multiplying, instead of using the exact fraction or decimal. For a box that is 2 ft × 1.5 ft × 1 ft, a student might round 1.5 down to 1 and compute 2 × 1 × 1 = 2 ft³, but the correct volume uses the exact edge length: 2 × 1.5 × 1 = 3 ft³ — a full cubic foot larger. Before you submit, ask: 'Did I multiply using the exact fractional or decimal edge length, or did I round it off first?'
  1. 1 MULTIPLE CHOICE

    Two boxes: Box A is 10 × 5 × 4 inches. Box B is 8 × 6 × 5 inches. Which has more volume and by how much?

    1. ABox B by 40 in³
    2. BBox A by 40 in³
    3. CBox B by 60 in³
    4. DThey're equal
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    What is the volume of a prism with edge lengths 1/2 m, 3 m, and 4 m?

    1. A7.5 m³
    2. B12 m³
    3. C6 m³
    4. D3 m³
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
    1. 1Name itWhich measure is asked?
    2. 2Write the formulaBefore any numbers.
    3. 3SubstituteMatch each letter.
    4. 4Unitunits, sq units, or cubic?
  3. 3 MULTIPLE CHOICE

    A cube has an edge length of 5 cm. What is its volume?

    1. A125 cm³
    2. B15 cm³
    3. C25 cm³
    4. D75 cm³
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
    1. 1Name itWhich measure is asked?
    2. 2Write the formulaBefore any numbers.
    3. 3SubstituteMatch each letter.
    4. 4Unitunits, sq units, or cubic?
  4. 4 MULTIPLE CHOICE

    A time-capsule box measures 6 in long, 4 in wide, and 3 in tall. What is its volume?

    1. A72 cubic in
    2. B13 cubic in
    3. C24 cubic in
    4. D72 square in
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
    1. 1Name itWhich measure is asked?
    2. 2Write the formulaBefore any numbers.
    3. 3SubstituteMatch each letter.
    4. 4Unitunits, sq units, or cubic?
  5. 5 MULTIPLE CHOICE

    Two storage boxes are ready to pack. Box A is 5 × 5 × 2 inches and Box B is 4 × 4 × 3 inches. Which box holds more?

    1. ABox A, because 50 cubic in is more than 48 cubic in
    2. BBox B, because 48 cubic in is more than 50 cubic in
    3. CThey hold the same amount
    4. DBox B, because it is taller
    ✏️ Workspace & Solution Steps
  6. 6 MULTIPLE CHOICE

    A keepsake box is 4 in long, 3 in wide, and 1½ in tall. What is its volume?

    1. A18 cubic in
    2. B8.5 cubic in
    3. C12 cubic in
    4. D36 cubic in
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
    1. 1Name itWhich measure is asked?
    2. 2Write the formulaBefore any numbers.
    3. 3SubstituteMatch each letter.
    4. 4Unitunits, sq units, or cubic?
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

Writing Task: Justify why your mathematical solution is accurate and complete.

C Claim
Starter: My mathematical claim is that the solution is...
E Evidence
Starter: The evidence from the model/table demonstrates that...
R Reasoning
Starter: This proves my answer because the standard mathematical definition of...
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It