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

Lesson 5.8Lateral Area of Pyramids

Apply Day · Set BSecond 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.

Remember5.8 · Part II

Surface Area of Pyramids

  1. Calculate area of base polygon (square, rectangle, or triangle)
  2. Calculate area of each triangular face using ½ × base × slant height
  3. Add the base area and all triangular face areas together

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.
    base4 in2 in

    A square pyramid has a base that is 2 in by 2 in. Its slant height is 4 in. Find its surface area.

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

    A square pyramid has a base that is 10 ft by 10 ft. Its slant height is 13 ft. Find its surface area.

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

    A square pyramid has a slant height of 10 in. Its 4 triangle faces have a total area of 240 square inches. How long is each base edge?

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

    A gift box is a square pyramid. Its base is 7 in by 7 in. Its slant height is 9 in. How much paper covers every face?

    Show your work
    Final answer:
  5. 5Complete 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:
  6. 6Complete 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:
  7. 7Circle the letter of the best answer. Show how you know.

    A square pyramid has a base edge of 5 in and a slant height of 7 in. What is the surface area?

    1. A70 in²
    2. B95 in²
    3. C95 in³
    4. D120 in²
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  8. 8Circle the letter of the best answer. Show how you know.

    How many lateral (triangular) faces does a square pyramid have?

    1. A3
    2. B4
    3. C5
    4. D6
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    What is the area of one triangular face with base 8 in and slant height 6 in?

    1. A14 in²
    2. B24 in²
    3. C24 in³
    4. D48 in²
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
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