6.GR.2 Lesson 5-10-part2 Apply Day · Set B
MASTERY CHECK
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5.10 · Part II

Second Practice Form · Independent Application and Spiral Review

Volume of Rectangular Prisms · Volume

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■ ADVANCED CONCEPT ANCHOR: 5.10 · Part II
1Volume of Rectangular Prisms with Fractional Edges
2The Structural Procedure
  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
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

    (Lesson 5.5) 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. B6 cm
    3. C4 cm
    4. D12 cm
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  2. 2 MULTIPLE CHOICE

    (Lesson 5.6) A rectangular prism has l = 6 in, w = 4 in, h = 2 in. What is its surface area?

    1. A88 in²
    2. B48 in²
    3. C88 in³
    4. D44 in²
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  3. 3 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
  4. 4 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
  5. 5 MULTIPLE CHOICE

    A prism with a 3/4 ft by 2 ft base has a volume of 9 ft³. What is its height?

    1. A4 ft
    2. B9 ft
    3. C6 ft
    4. D12 ft
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  6. 6 MULTIPLE CHOICE

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

    1. A60 in³
    2. B12 in³
    3. C60 in²
    4. D24 in³
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  7. 7 MULTIPLE CHOICE

    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. B6 cm
    3. C3 cm
    4. D12 cm
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  8. 8 MULTIPLE CHOICE

    How is volume different from area?

    1. AVolume measures 3D space (cubic units); area measures 2D surface (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
    ✏️ Workspace & Solution Steps
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

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

C Claim
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It