Grade 6 Mathematics · Unit 5: Solve Area, Surface Area, and Volume ProblemsStandard 6.GR.4

Lesson 5.75.7 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target With my small group, I can find the surface area of rectangular and triangular prisms — one step at a time, with support.

Remember5.7 Small Group · Group 1

The surface area of any prism is the sum of the areas of all its faces: 6 faces for a rectangular prism, 5 for a triangular prism. To find the surface area of a prism, find the area of every face. Then add them all.

Words: Surface area (Área de superficie)Rectangular prism (Prisma rectangular)Triangular prism (Prisma triangular)Face (Cara)Net (Plantilla (desarrollo plano))

  1. 1Complete each step, then write the final answer.

    A tent is a triangular prism with a floor. Each triangle end has a base of 8 ft and a height of 3 ft. The slanted sides are 5 ft. The tent is 4 ft long. Find its surface area.

    Show your work

    Hint Triangles: 2 × 12 = 24. Rectangles: 8 × 4, 5 × 4 and 5 × 4. Add all five faces.

    Final answer:
  2. 2Complete each step, then write the final answer.

    A triangular prism is 3 cm long. Each triangle end has a base of 24 cm and a height of 5 cm. The slanted sides are 13 cm. Find the surface area.

    Show your work

    Hint Find the 2 triangles and the 3 rectangles. Then add all 5 faces.

    Final answer:
  3. 3Complete each step, then write the final answer.

    A doorstop is a triangular prism 5 cm long. Its triangle ends have sides of 9 cm, 12 cm and 15 cm. The 9 cm and 12 cm sides meet at a square corner. How much paint covers it?

    Show your work

    Hint Paint covers all 5 faces. Use the sides at the square corner for the triangles.

    Final answer:
  4. 4Complete each step, then write the final answer.

    A tent has no floor. It is 8 ft long. Each triangle end has a base of 10 ft and a height of 12 ft. The slanted sides are 13 ft. How much fabric makes the tent?

    Show your work

    Hint No floor means one rectangle is missing. Which faces are left?

    Final answer:

Explain your thinkingHow is the surface area of a triangular prism like the surface area of a box? How is it different?

Sentence starter Both are the same because ___. · A triangular prism has ___ faces, so ___.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help