Digits, Grade 8, Volume 1, Homework Helper

5-6: TEKS Practice

  • 1. Find the volume of the figure. Use 3.14 for π. Round to the nearest whole number as needed.

    A figure of a cone with height 10 cm and a base attached to and shared by a half-sphere with diameter 10 cm.

  • 2. A student was asked to find the volume of the solid where the inner cylinder is hollow. She incorrectly said the volume is 2,034.72 in.3.

    A solid with a cone of height 9 inches attached to the base of a cylinder. The cylinder has a height of 15 inches and diameter 12 inches with a hollow cylinder positioned through the center that forms a hole with radius 3 inches.

    • a. Find the volume of the solid. Use 3.14 for π. Round to the nearest whole number as needed.

    • b. What mistake might the student have made?

      • A. She did not subtract the volume of the smaller cylinder.

      • B. She found the surface area instead of the volume.

      • C. She found the volume of a sphere instead of a cone.

      • D. She found the volume of a rectangular prism instead of a cylinder.

  • 3. The figure shows a peg used in a board game. Find the amount of plastic needed to create one of these pegs. Use 3.14 for π. Round to the nearest whole number as needed.

    A figure with a cylinder of height 5.5 cm and diameter 2.4 cm. It attaches to a cone of height 3.3 cm at the center of their bases. The cone's base extends 1.3 cm around the circumference of the cylinder's base.

  • 4. A satellite consists of a sphere with a radius r = 18 m and six equally spaced cylinders with radii r over 2 and height 20 m extending from the sphere.

    • a. Find the volume of the satellite. Use 3.14 for π. Round to the nearest whole number as needed.

    • b. Draw a picture of the satellite.


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Table of Contents

Digits, Grade 8, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Proportionality Unit C: Expressions, Equations, and Relationships English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties