Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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# Finding the Volume of Shapes This exercise will guide you through calculating the volume of different shapes. You will need to round your answers to the nearest whole number. ## Problem Statement **Find the volume of each figure. Round your answer to the nearest whole number.** ### a) Cylinder - **Given:** - Radius \(r = 4 \text{ yards}\) - Height \(h = 5 \text{ yards}\) - **Volume Formula for a Cylinder:** \( V = \pi r^2 h \) - *Calculate the volume and provide your answer in cubic yards (yd³).* [] yd³ ### b) Rectangular Prism - **Given:** - Length \(l = 6 \text{ inches}\) - Width \(w = 4 \text{ inches}\) - Height \(h = 3 \text{ inches}\) - **Volume Formula for a Rectangular Prism:** \( V = l \times w \times h \) - *The volume of the rectangular prism is:* \[ 72 \text{ in}^3 \] ### Diagram - **Explanation:** - A red rectangular prism is shown. - The dimensions are labeled as follows: - Length: 6 inches - Width: 4 inches - Height: 3 inches
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Transcribed Image Text:# Finding the Volume of Shapes This exercise will guide you through calculating the volume of different shapes. You will need to round your answers to the nearest whole number. ## Problem Statement **Find the volume of each figure. Round your answer to the nearest whole number.** ### a) Cylinder - **Given:** - Radius \(r = 4 \text{ yards}\) - Height \(h = 5 \text{ yards}\) - **Volume Formula for a Cylinder:** \( V = \pi r^2 h \) - *Calculate the volume and provide your answer in cubic yards (yd³).* [] yd³ ### b) Rectangular Prism - **Given:** - Length \(l = 6 \text{ inches}\) - Width \(w = 4 \text{ inches}\) - Height \(h = 3 \text{ inches}\) - **Volume Formula for a Rectangular Prism:** \( V = l \times w \times h \) - *The volume of the rectangular prism is:* \[ 72 \text{ in}^3 \] ### Diagram - **Explanation:** - A red rectangular prism is shown. - The dimensions are labeled as follows: - Length: 6 inches - Width: 4 inches - Height: 3 inches
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