6.GR.4
Lesson 5-7-part2
Apply Day · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice
5.7 · Part II
Second Practice Form · Independent Application and Spiral Review
Surface Area of Prisms · Surface area
■ ADVANCED CONCEPT ANCHOR: 5.7 · Part II
1Surface Area of Prisms
2The Structural Procedure
- Calculate area of Top & Bottom: 2 × (l · w)
- Calculate area of Front & Back: 2 × (l · h)
- Calculate area of Left & Right: 2 × (w · h), then sum all three pairs
3Mathematical Word Bank
- Surface Area of Prisms (Área de superficie de prismas) — The total area of all bases and lateral faces of a prism. Formula: SA = 2B + lateral area.
- Surface area (Área de superficie) — The total area of all the flat sides of a solid.
- Rectangular prism (Prisma rectangular) — A solid box shape with six flat rectangle sides.
- Triangular prism (Prisma triangular) — A solid with two triangle ends and three flat rectangle sides.
- Face (Cara) — One flat side of a solid shape.
- Net (Plantilla (desarrollo plano)) — A flat shape that folds up into a solid.
4Watch out
- A common mistake in Surface Area of Prisms is confusing surface area with volume — multiplying l × w × h (which finds the space INSIDE the prism, in cubic units) instead of adding the areas of all the faces (SA = 2lw + 2lh + 2wh, in square units). A second common slip is forgetting to double one face pair, like writing 2(l×w) + 2(l×h) + (w×h) instead of + 2(w×h) — always count all 6 faces (or all 5 for a triangular prism) before you submit.
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1 MULTIPLE CHOICE
A rectangular prism measures 6 cm long, 4 cm wide, and 2 cm tall. What is its surface area?
- A88 square centimeters
- B48 square centimeters
- C24 square centimeters
- D44 square centimeters
FormulaPut the numbers inWork it outAnswer with its unit -
2 MULTIPLE CHOICE
What is the surface area of a rectangular prism with l = 5 cm, w = 4 cm, h = 3 cm?
- A94 cm²
- B60 cm²
- C94 cm³
- D47 cm²
FormulaPut the numbers inWork it outAnswer with its unit -
3 MULTIPLE CHOICE
How many faces does a triangular prism have?
- A5
- B4
- C6
- D3
✏️ Workspace & Solution Steps -
4 MULTIPLE CHOICE
A triangular prism has two triangular bases each with area 12 cm² and three rectangular faces with areas 30 cm², 40 cm², and 40 cm². What is the total surface area?
- A134 cm²
- B110 cm²
- C122 cm²
- D134 cm³
FormulaPut the numbers inWork it outAnswer with its unit
📐 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.