6.GR.4 Lesson 5-6-part2 Apply Day · Set B
MASTERY CHECK
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5.6 · Part II

Second Practice Form · Independent Application and Spiral Review

Surface Area Using Nets · Surface area

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 5.6 · Part II
1Representing 3D Solids with Nets
2The Structural Procedure
  1. A net is a 2D flat pattern that folds into a 3D solid without overlapping
  2. Rectangular prism net has 6 rectangular faces in 3 congruent opposite pairs
  3. Surface Area is the total sum of the areas of all flat faces on the net
3Mathematical Word Bank
  • Surface Area Using Nets (Área de superficie usando redes) — The total area of all the faces of a solid. A net unfolds the solid flat so you can see every face and add their areas.
  • Surface area (Área de superficie) — The total area of all the flat sides of a solid.
  • Net (Plantilla (desarrollo plano)) — A flat shape that folds up into a solid.
  • Face (Cara) — One flat side of a solid shape.
  • Two-dimensional (Bidimensional) — A flat shape with length and width, but no thickness.
  • Edge (Arista) — The line where two flat sides of a solid meet.
4Watch out
  • A common mistake in Surface Area Using Nets is finding the area of only one face from each of the 3 matching pairs and forgetting to double it, instead of counting all 6 faces. For a box that is 9 in × 4 in × 5 in, a student might add just one face from each pair: (9×4) + (9×5) + (4×5) = 36 + 45 + 20 = 101 in², but the net actually has two of each face, so the correct total is 2(36) + 2(45) + 2(20) = 72 + 90 + 40 = 202 in² — exactly double. Before you submit, ask: 'Did I count both matching faces in each pair, or only one from each pair?'
SECTION 1 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 1 MULTIPLE CHOICE

    (Lesson 5.10) 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
  2. 2 MULTIPLE CHOICE

    A time capsule box measures 2 in × 3 in × 4 in. Using its net, you add up all six faces. What is the total surface area?

    1. A52 in²
    2. B24 in²
    3. C26 in²
    4. D48 in²
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  3. 3 MULTIPLE CHOICE

    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
  4. 4 MULTIPLE CHOICE

    How many faces does a rectangular prism have?

    1. A6
    2. B4
    3. C8
    4. D12
    ✏️ Workspace & Solution Steps
  5. 5 MULTIPLE CHOICE

    Surface area is measured in which type of unit?

    1. ASquare units (in², cm², ft²)
    2. BCubic units (in³, cm³, ft³)
    3. CLinear units (in, cm, ft)
    4. DNo units needed
    ✏️ Workspace & Solution Steps
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 6 OPEN RESPONSE

    Two boxes have the same volume of 60 in³. Box A is 5 × 4 × 3. Box B is 10 × 6 × 1. Which box uses less wrapping paper (has less surface area)? Show your calculations and explain why a more cube-like shape might use less material.

    ✏️ Mathematical Justification & Response
📐 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