Find the volume of apyramıd wth asquare bUse i where the area of the base 1o 19.6 cm² and the eignt ot the puromid is 12.7cm.Rand yar eaoser ansuer to the nearest tenth of a cubii centimeter
Find the volume of apyramıd wth asquare bUse i where the area of the base 1o 19.6 cm² and the eignt ot the puromid is 12.7cm.Rand yar eaoser ansuer to the nearest tenth of a cubii centimeter
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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**Review Questions**
**Question:**
Find the volume of a pyramid with a square base, where the area of the base is 49.6 cm² and the height of the pyramid is 12.7 cm. Round your answer to the nearest tenth of a cubic centimeter.
**Solution:**
To find the volume of a pyramid, use the formula:
\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
Given:
- Base Area (A) = 49.6 cm²
- Height (h) = 12.7 cm
Substitute the given values into the formula:
\[ \text{Volume} = \frac{1}{3} \times 49.6 \times 12.7 \]
Calculate the result, and round to the nearest tenth.
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This problem helps to reinforce the understanding and application of the volume formula for pyramids, addressing skills in algebraic manipulation and proficient use of a calculator.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4bce1f30-e095-40ec-841c-51a31a24c777%2F53f21498-cc98-4913-be5d-57443d9f092a%2Fj1klmqn_processed.jpeg&w=3840&q=75)
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**Review Questions**
**Question:**
Find the volume of a pyramid with a square base, where the area of the base is 49.6 cm² and the height of the pyramid is 12.7 cm. Round your answer to the nearest tenth of a cubic centimeter.
**Solution:**
To find the volume of a pyramid, use the formula:
\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
Given:
- Base Area (A) = 49.6 cm²
- Height (h) = 12.7 cm
Substitute the given values into the formula:
\[ \text{Volume} = \frac{1}{3} \times 49.6 \times 12.7 \]
Calculate the result, and round to the nearest tenth.
---
This problem helps to reinforce the understanding and application of the volume formula for pyramids, addressing skills in algebraic manipulation and proficient use of a calculator.
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