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

Lesson 5.85.8 Small Group · Group 2

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

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Learning target I can find the surface area of a pyramid by adding the base area and the lateral faces, explain why the method works, and use it on a problem I have not seen before.

Remember5.8 Small Group · Group 2

Pyramid surface area is the base plus the triangle faces, and each face uses the slant height, the height measured along that face. A pyramid has two heights. The triangle faces use the slant height, not the height inside the pyramid.

Words: Pyramid (Pirámide)Slant height (Altura inclinada (apotema))Lateral face (Cara lateral)Base (Base)Apex (Ápice)

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

    A square pyramid has a base edge of 10 in. Its total surface area is 340 square inches. What is its slant height?

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

    A square pyramid has a base edge of 14 in. Its height is 24 in. Its slant height is 25 in. Find its surface area.

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

    A gift box is a square pyramid with a 10 cm base edge. It takes 400 square centimeters of paper to cover every face. What is its slant height?

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

    A cube has edges of 6 in. A square pyramid has a 6 in base edge. Both have the same surface area. What is the pyramid's slant height?

    Show your work
    Final answer:

Explain your thinkingA pyramid has two heights. How do you decide which one to use for the faces? Use Lee'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