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Help with 15,16,17!! 15- find the volume of the figure. Assume- a = 2 feet b = 3 feet c = 4 feet 16- how much water will a 20‘ x 28‘ x 6‘ swimming pool contain round to the nearest 10 gallons. 17- find the outside surface area. Note that the box does not have a top. Assume a = 25 cm Look at picture. Show work please

Help with 15,16,17!! 15- find the volume of the figure. Assume- a = 2 feet b = 3 feet c = 4 feet 16- how much water will a 20‘ x 28‘ x 6‘ swimming pool contain round to the nearest 10 gallons. 17- find the outside surface area. Note that the box does not have a top. Assume a = 25 cm Look at picture. Show work please

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Help with 15,16,17!! 15- find the volume of the figure. Assume- a = 2 feet b = 3 feet c = 4 feet 16- how much water will a 20‘ x 28‘ x 6‘ swimming pool contain round to the nearest 10 gallons. 17- find the outside surface area. Note that the box does not have a top. Assume a = 25 cm Look at picture. Show work please.
**Geometry Problems and Diagrams** 1. **Problem 15: Volume of a Rectangular Prism** - **Details:** Find the volume of the solid. - **Dimensions:** Assume \( a = 2 \) ft, \( b = 3 \) ft, \( c = 4 \) ft. - **Answer Required:** _ cubic feet (ft³) - **Diagram Explanation:** - There is a rectangular prism shown with dimensions \( a \), \( b \), and \( c \). 2. **Problem 16: Volume of Water in a Swimming Pool** - **Details:** How much water will a 20 ft by 28 ft by 6 ft swimming pool contain? - **Answer Format:** Rounded to the nearest ten gallons. - **Answer Required:** _ gallons (gal) 3. **Problem 17: Surface Area of an Open Top Box** - **Details:** Find the outside surface area. Note that the box does not have a top. - **Dimensions:** Assume \( a = 25 \) cm. - **Answer Required:** _ square centimeters (cm²) - **Diagram Explanation:** - Similar to a cube but depicted as a box with the top missing. The edge of each side is labeled \( a \). These problems are designed to practice the calculation of volume and surface area using basic geometric formulas.
Transcribed Image Text:**Geometry Problems and Diagrams** 1. **Problem 15: Volume of a Rectangular Prism** - **Details:** Find the volume of the solid. - **Dimensions:** Assume \( a = 2 \) ft, \( b = 3 \) ft, \( c = 4 \) ft. - **Answer Required:** _ cubic feet (ft³) - **Diagram Explanation:** - There is a rectangular prism shown with dimensions \( a \), \( b \), and \( c \). 2. **Problem 16: Volume of Water in a Swimming Pool** - **Details:** How much water will a 20 ft by 28 ft by 6 ft swimming pool contain? - **Answer Format:** Rounded to the nearest ten gallons. - **Answer Required:** _ gallons (gal) 3. **Problem 17: Surface Area of an Open Top Box** - **Details:** Find the outside surface area. Note that the box does not have a top. - **Dimensions:** Assume \( a = 25 \) cm. - **Answer Required:** _ square centimeters (cm²) - **Diagram Explanation:** - Similar to a cube but depicted as a box with the top missing. The edge of each side is labeled \( a \). These problems are designed to practice the calculation of volume and surface area using basic geometric formulas.
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