Find the volume of a pyramid with a square base, where the area of the base is 1.6 cm² and the height of the pyramid is 2.3 cm. Round your answer to the neare tenth of a cubic centimeter.
Find the volume of a pyramid with a square base, where the area of the base is 1.6 cm² and the height of the pyramid is 2.3 cm. Round your answer to the neare tenth of a cubic 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
Related questions
Question
![**Volume of a Pyramid Calculation**
*Problem Statement:*
Find the volume of a pyramid with a square base, where the area of the base is 4.6 cm² and the height of the pyramid is 2.3 cm. Round your answer to the nearest tenth of a cubic centimeter.
*Solution:*
The formula to calculate the volume \( V \) of a pyramid is given by:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
- Given the Base Area (\( A \)) = 4.6 cm²
- Given the Height (\( h \)) = 2.3 cm
Plugging in the given values:
\[ V = \frac{1}{3} \times 4.6 \, \text{cm}^2 \times 2.3 \, \text{cm} \]
Calculate the volume step-by-step:
1. Multiply the base area and height:
\[ 4.6 \times 2.3 = 10.58 \, \text{cm}^3 \]
2. Now, multiply the result by \( \frac{1}{3} \):
\[ \frac{1}{3} \times 10.58 = 3.5267 \, \text{cm}^3 \]
Finally, round the answer to the nearest tenth:
\[ 3.5267 \, \text{cm}^3 \approx 3.5 \, \text{cm}^3 \]
*Final Answer:*
\[ \boxed{3.5 \, \text{cm}^3} \]
*Explanation of Graphs/Diagrams:*
There are no graphs or diagrams provided in the problem. The problem requires a numerical calculation based on the given formula for the volume of a pyramid. The user should input their final answer in the provided "Answer" field and then click "Submit Answer." There is also an indication at the bottom right that there is one problem in the set, and currently, this is the first attempt.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb59a93f1-c544-43ca-8f46-fbe654f100c7%2Ff677440b-9983-459d-9cb1-d80c376f7c80%2Fi5x1n78_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Volume of a Pyramid Calculation**
*Problem Statement:*
Find the volume of a pyramid with a square base, where the area of the base is 4.6 cm² and the height of the pyramid is 2.3 cm. Round your answer to the nearest tenth of a cubic centimeter.
*Solution:*
The formula to calculate the volume \( V \) of a pyramid is given by:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
- Given the Base Area (\( A \)) = 4.6 cm²
- Given the Height (\( h \)) = 2.3 cm
Plugging in the given values:
\[ V = \frac{1}{3} \times 4.6 \, \text{cm}^2 \times 2.3 \, \text{cm} \]
Calculate the volume step-by-step:
1. Multiply the base area and height:
\[ 4.6 \times 2.3 = 10.58 \, \text{cm}^3 \]
2. Now, multiply the result by \( \frac{1}{3} \):
\[ \frac{1}{3} \times 10.58 = 3.5267 \, \text{cm}^3 \]
Finally, round the answer to the nearest tenth:
\[ 3.5267 \, \text{cm}^3 \approx 3.5 \, \text{cm}^3 \]
*Final Answer:*
\[ \boxed{3.5 \, \text{cm}^3} \]
*Explanation of Graphs/Diagrams:*
There are no graphs or diagrams provided in the problem. The problem requires a numerical calculation based on the given formula for the volume of a pyramid. The user should input their final answer in the provided "Answer" field and then click "Submit Answer." There is also an indication at the bottom right that there is one problem in the set, and currently, this is the first attempt.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning