5-5: TEKS Practice

  • 1. Find the volume of the square pyramid.

    A square pyramid with height 15 cm and base sides of length 3 cm.

  • 2. An artist makes paperweights in the shape of square pyramids. The paperweights are filled with yellow sand. How much sand does the artist need to fill this paperweight?

    A square pyramid with height 5 cm and base sides of length 6 cm.

  • 3. Find the volume of the regular triangular pyramid. Do not round until the final answer. Then round to the nearest tenth as needed.

    A regular triangular pyramid with height 14.7 cm. The base has side of length 18 cm and height of 15.6 cm.

  • 4. Find the volume of the regular triangular pyramid. Round to the nearest cubic centimeter as needed.

    A regular triangular pyramid with height 67.4 cm. The base has side of length 82.5 cm and height of 71.4 cm.

  • 5. A craftsperson uses the volume of a gem to set the price. One gem is shaped like a regular triangular pyramid. Find the volume of the gem. Do not round until the final answer. Then round to the nearest tenth as needed.

    A regular triangular pyramid with height 3.7 cm. The base has side of length 4.5 cm and height of 3.9 cm.

  • 6. Writing A square-based pyramid and a square-based rectangular prism have the same base edge b and the same height h.

    A square pyramid with height h and base sides of length b. A rectangular prism of height h and base sides of length b.

    • a. How does the volume of the prism compare to the volume of the pyramid?

      • A. The volume of the prism is 4 times the volume of the pyramid.

      • B. The volume of the prism is 2 times the volume of the pyramid.

      • C. The volumes cannot be compared without the actual given measurements.

      • D. The volume of the prism is 3 times the volume of the pyramid.

    • b. Describe a situation that could use this fact.

  • 7. Estimation Estimate the volume of the regular triangular pyramid. Round each dimension to the nearest whole number. Multiply the rounded dimensions. Then, divide by 6.

    A regular triangular pyramid with height 3.02 m. The base has side of length 3.7 m and height of 3.20 m.


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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