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

Second Practice Form · Independent Application and Spiral Review

Volume with Whole-Number Edges · Volume

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■ ADVANCED CONCEPT ANCHOR: 5.5 · Part II
1Volume of Rectangular Prisms (Whole Numbers)
2The Structural Procedure
  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)
3Mathematical Word Bank
  • Volume with Whole-Number Edges (Volumen con aristas de números enteros) — The number of unit cubes inside a rectangular prism. Formula: V = 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.
  • Length, width, height (Largo, ancho, altura) — How long, how wide, and how tall a box is.
  • Net (Plantilla (desarrollo plano)) — A flat shape that folds up into a solid.
4Watch out
  • A common mistake in Volume with Whole Number Edges is multiplying only two of the three edges and stopping there — for example, seeing a box that is 6 in long, 4 in wide, and 3 in tall, multiplying just 6 × 4 = 24, and calling that the volume, when 24 is only the area of the bottom face (in square inches), not the volume of the whole box. The height must also be multiplied in: V = 6 × 4 × 3 = 72 cubic inches. A second common mistake is adding the three edges instead of multiplying them (6 + 4 + 3 = 13 instead of 6 × 4 × 3 = 72 cubic inches). Volume always MULTIPLIES all three edges, and the answer is always labeled in cubic units (in³), never square units (in²) or plain units (in).
  1. 1 MULTIPLE CHOICE

    A time capsule box is 5 units long, 3 units wide, and 2 units tall. How many unit cubes fill it?

    1. A30 cubic units
    2. B10 cubic units
    3. C15 cubic units
    4. D25 cubic units
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    You stack unit cubes in a capsule: each layer has 6 cubes, and there are 4 layers. What is the volume?

    1. A24 cubic units
    2. B10 cubic units
    3. C12 cubic units
    4. D18 cubic units
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  3. 3 MULTIPLE CHOICE

    Two prisms have the same volume of 48 cm³. Prism A is 4 × 4 × 3. Prism B is 8 × 3 × h. What is h?

    1. A6 cm
    2. B2 cm
    3. C4 cm
    4. D3 cm
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  4. 4 MULTIPLE CHOICE

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

    1. A84 in³
    2. B14 in³
    3. C84 in²
    4. D42 in³
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  5. 5 MULTIPLE CHOICE

    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
  6. 6 MULTIPLE CHOICE

    Which unit is used for volume?

    1. ACubic inches (in³)
    2. BSquare inches (in²)
    3. CInches (in)
    4. DDegrees (°)
    ✏️ 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