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

Lesson 5.75.7 Small Group · Group 2

Group 2 · Set BSecond challenge form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target I can find the surface area of rectangular and triangular prisms, explain why the method works, and use it on a problem I have not seen before.

Remember5.7 Small Group · Group 2

Every side of the triangle makes a rectangle, but in a right triangle only the two perpendicular sides give the triangle's area. In a right triangle, the two sides at the square corner are the base and height. The slanted side is not.

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 triangular prism is 10 m long. Its triangle ends have sides of 6 m, 8 m and 10 m. The 6 m and 8 m sides meet at a square corner. Find the surface area.

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

    A triangular prism is 6 in long. Its triangle ends have sides of 7 in, 24 in and 25 in. The 7 in and 24 in sides meet at a square corner. Find the surface area.

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

    A candle box is a triangular prism 10 cm long. Each end is a triangle with three 4 cm sides and a height of 3.5 cm. How much cardboard makes the box?

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

    A triangular prism has triangle ends with a base of 10 cm and a height of 12 cm. The slanted sides are 13 cm. Its surface area is 480 square centimeters. How long is the prism?

    Show your work
    Final answer:

Explain your thinkingIn a right triangle, which sides give the triangle's area? Which sides make the rectangles? Use Mo's mistake to explain.

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