Digits, Grade 7, Volume 1, Homework Helper

5-4: TEKS Practice

  • 1. Find the surface area of the square pyramid.

    A square pyramid with base sides of length 14 m and slant height of 13 m.

  • 2. Error Analysis A student incorrectly says the surface area of the square pyramid is 1,764 cm2.

    A square pyramid with base sides of length 18 m, slant height of 41 m, and pyramid height of 40 cm.

    • a. What is the correct surface area?

    • b. Which statement best describes an error the student likely made?

      • A. The student used the height of the pyramid, 40 cm, rather than the slant height of the pyramid, 41 cm, to find the lateral area.

      • B. The student used the side length of the base of the pyramid, 18 cm, rather than the height of the pyramid, 40 cm, to find the lateral area.

      • C. The student used the height of the pyramid, 40 cm, rather than the side length of the base of the pyramid, 18 cm, to find the lateral area.

      • D. The student used the slant height of the pyramid, 41 cm, rather than the height of the pyramid, 40 cm, to find the lateral area.

  • 3. Open-Ended Think of an object that has the shape of a square pyramid. It could be pointed up, down, or to the left or right.

    • a. Sketch a square pyramid that has the shape of the object.

    • b. What information could you use to find the surface area of a square pyramid? Select all that apply.

      • A. the side length of the base

      • B. the lateral area

      • C. the slant height of the pyramid

      • D. the area of the base

      • E. the perimeter of the base

      • F. the height of the pyramid

  • 4. Think About the Process You want to find the surface area of the square pyramid. You use the formula S.A. = L.A. + B, where L.A. represents the lateral area of the pyramid and B represents the area of the base.

    A square pyramid with base sides of length 12 in. and slant height of 9 in.

    • a. Which equations do you use for L.A. and B?

      • A. cap l .cap a . equals , 1 half , open , 12 squared , close open 9 close semicolon b equals , 9 squared

      • B. cap l .cap a . equals , 1 half , open 4 middle dot 9 close open 12 close semicolon b equals , 9 squared

      • C. L.A. = (4 · 12)(9); B = 122

      • D. cap l .cap a . equals , 1 half , open 4 middle dot 12 close open 9 close semicolon b equals , 12 squared

    • b. What is the surface area of the square pyramid?


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Table of Contents

Digits, Grade 7, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Expressions, Equations, and Relationships Unit C: Measurement and Geometry Unit D: Proportionality English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties