Find the volume of each pyramid. Round to the nearest tenth If necessary. (Empies 1 and 21 1. 2. 25 yd 29 om 14 yd 13 em 23 yd 2.2 cm Find the height of each pyramid. tamples 3 and 4) 3. square pyromid: volume 1,024 cm 4. triangular pyramid: volume 48 in: base base edge 16 cm edge 9 in.; base height 4 in.
Find the volume of each pyramid. Round to the nearest tenth If necessary. (Empies 1 and 21 1. 2. 25 yd 29 om 14 yd 13 em 23 yd 2.2 cm Find the height of each pyramid. tamples 3 and 4) 3. square pyromid: volume 1,024 cm 4. triangular pyramid: volume 48 in: base base edge 16 cm edge 9 in.; base height 4 in.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**Example**
5. Kamilah is making a model of the Food Guide Pyramid for a class project. Find the volume of the square pyramid.
\[ V = \frac{1}{3} B h \]
\[ V = \frac{1}{3} (12 \times 12) 12 \]
\[ V = \frac{1}{3} 144 \times 12 \]
\[ V = 576 \]
The volume is 576 cubic inches.
**Guided Practice**
*Find the volume of each pyramid. Round to the nearest tenth if necessary.* (Examples 1 and 2)
1. A pyramid with a square base (23 yd by 23 yd) and height (25 yd).
2. A triangular pyramid with base length (2.2 cm), base height (2.9 cm), and slant height (1.8 cm).
*Find the height of each pyramid.* (Examples 3 and 4)
3. A square pyramid with volume (1,024 cm³) and base edge (16 cm).
4. A triangular pyramid with volume (48 in³), base edge (9 in), and base height (4 in).
5. The Transamerica Pyramid is a skyscraper in San Francisco. The rectangular base has a length of 175 feet and a width of 120 feet. The height is 853 feet. Find the volume of the building. (Example 5)
6. **Building on the Essential Question:** When you are finding the volume of a pyramid, why is it important to know the shape of the base of the pyramid?
**Rate Yourself!**
*How well do you understand the volume of pyramids? Circle the image that applies.*
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Transcribed Image Text:**Example**
5. Kamilah is making a model of the Food Guide Pyramid for a class project. Find the volume of the square pyramid.
\[ V = \frac{1}{3} B h \]
\[ V = \frac{1}{3} (12 \times 12) 12 \]
\[ V = \frac{1}{3} 144 \times 12 \]
\[ V = 576 \]
The volume is 576 cubic inches.
**Guided Practice**
*Find the volume of each pyramid. Round to the nearest tenth if necessary.* (Examples 1 and 2)
1. A pyramid with a square base (23 yd by 23 yd) and height (25 yd).
2. A triangular pyramid with base length (2.2 cm), base height (2.9 cm), and slant height (1.8 cm).
*Find the height of each pyramid.* (Examples 3 and 4)
3. A square pyramid with volume (1,024 cm³) and base edge (16 cm).
4. A triangular pyramid with volume (48 in³), base edge (9 in), and base height (4 in).
5. The Transamerica Pyramid is a skyscraper in San Francisco. The rectangular base has a length of 175 feet and a width of 120 feet. The height is 853 feet. Find the volume of the building. (Example 5)
6. **Building on the Essential Question:** When you are finding the volume of a pyramid, why is it important to know the shape of the base of the pyramid?
**Rate Yourself!**
*How well do you understand the volume of pyramids? Circle the image that applies.*
-
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