Find the surface area of the figure. ## Geometry Concept: Understanding 3D Shapes and their Measurements### Topic: Right Square PyramidIn this section, we explore the basic understanding and properties of a right square pyramid. ### Diagram Explanation:- **Structure**: The diagram above depicts a right square pyramid. The right square pyramid is a 3-dimensional geometric shape with a square base and four triangular faces, all coming to a point at the top (apex).- **Measurements**: - **Height of the Pyramid**: This is the perpendicular distance from the center of the base to the apex of the pyramid. In the diagram, this length is represented by the dotted line from the center of the base to the apex and is labeled as 21 inches. - **Slant Height**: This is the distance from the center of one of the sides of the base of the pyramid up to the apex. In the diagram, the slant height is depicted by a solid line that starts from the base to the apex, measuring 21 inches. - **Base Edge**: Each side of the square base measures 15 inches. This length is displayed as the horizontal solid lines at the base of the pyramid. - **Right Angle**: There is a right angle indicated at one corner of the base formed by the 8-inch and 15-inch base edges.### Summary:By understanding the basic structure and dimensions of a right square pyramid, students can gain better insight into 3-dimensional geometry. The provided measurements allow for the calculation of the pyramid’s various properties, such as surface area and volume, which are essential in solving related mathematical problems.

Answered: 21 in 15 in 8 in

Math

Geometry

21 in 15 in 8 in

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

See similar textbooks

Related questions

Q: Determine the approximate area of the sector shown?

Q: 4 PT - 10 cm WO = 5 cm and RS= 4 cm, find the %3D perimeter A PQR .

A: The perimeter is:-

Q: 2c. Find the LATERAL AREA of the following solid. * 7 mm 24 mm 24 mm 24 mm

A: Recall: Formula for lateral area(LA) of equilateral triangular prism is, LA=3a22+3(a×h) We…

Q: Find the surface area of the figure. 4 ft 2 ft 3 ft O A. 26 ft2 B. 40 ft2 O C. 56 ft2 O D. 52 ft2

A: This figure is a cuboid Length = 4ft Breath = 3ft Height = 2ft Surface area of cuboid is=2length…

Q: Find the surface area of the composite figure as shown below. Leave your answer as an exact value,…

A: Total surface area of composite figure can be found as sum of surface area of all figures.

Q: 1. area of each figure: Find the sur face (a) 4 cm 3 cm 8 cm (6) 8 Cm

Q: Find the surface area of the figure below

Q: Find the surface are

A: We are asked to find the surface area of the figure

Q: Find the Lateral Area Find the Surface Area

Q: 4. Find the lateral area, volume and total surface area of the right circular cone shown below.…

Q: Find the area of the shaded region below. (Assume a = ft² a 190 ft and b = 63 ft.)

Q: 2 inches

A: Maria folded the net along the marked lines to create the rectangular prism show below what is the…

Q: Find the surface area of the composite figure.

A: We will first name the figure.

Q: A large metal washer is modeled below. What is the surface area of the washer (shaded portion)? 6cm…

Q: re has 16-cm sides. Describe its image for a dilation with center at one 0.8.

Q: Find the area of the stamp when / = 4x – 1 and w = 2x + 1. (Simplify your answer completely.) cm2 I…

Q: What is the surface area? 5 ft 4 ft 5 ft 6 ft 6 ft square feet

Q: Find the surface area of each figure. 7 in. 2 in. 2 in.

Q: Find the surface area of a pyramid when s = 2 m and l = 9 m.

A: Here surface area need to find Given S = 2m ,l = 9m

Q: Find the surface area of the figure. 2 m 6 m 4 m

A: To findSurface area of given figure.

Q: (6) 20cm

Q: find the area

A: Add area of both diagram

Q: 3 m 6 m 5 m

A: Explanation of the answer is as follows

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS AND SHOW ALL WORK

A: The surface area is approximately 953.143 sq.ft Compute the surface area of the individual 3D…

Q: 8.06 13

Question

Find the surface area of the figure.

## Geometry Concept: Understanding 3D Shapes and their Measurements

### Topic: Right Square Pyramid

In this section, we explore the basic understanding and properties of a right square pyramid.

### Diagram Explanation:

- **Structure**: The diagram above depicts a right square pyramid. The right square pyramid is a 3-dimensional geometric shape with a square base and four triangular faces, all coming to a point at the top (apex).

- **Measurements**:
- **Height of the Pyramid**: This is the perpendicular distance from the center of the base to the apex of the pyramid. In the diagram, this length is represented by the dotted line from the center of the base to the apex and is labeled as 21 inches.
- **Slant Height**: This is the distance from the center of one of the sides of the base of the pyramid up to the apex. In the diagram, the slant height is depicted by a solid line that starts from the base to the apex, measuring 21 inches.
- **Base Edge**: Each side of the square base measures 15 inches. This length is displayed as the horizontal solid lines at the base of the pyramid.
- **Right Angle**: There is a right angle indicated at one corner of the base formed by the 8-inch and 15-inch base edges.

### Summary:

By understanding the basic structure and dimensions of a right square pyramid, students can gain better insight into 3-dimensional geometry. The provided measurements allow for the calculation of the pyramid’s various properties, such as surface area and volume, which are essential in solving related mathematical problems.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Spheres$

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.

Similar questions

13 ft 21 ft 7 ft Find the surface area of the solid.
Find the surface of the cone below
Solve for the center of the centroid.
Find the surface area of the box if l=22, w=4, and h=10. h
Please help and show work What is the surface area of the cylinder with a dimater of 10 and height of 8 round to the tenths Show work
BONUS 5 points: Find the total surface area of the hexagonal prism if s = 5 cm and h = 15.1 cm Round the FINAL answer to the nearest hundredth. (Don't round the apothem.) %24
D. Find the surface area of each solid. Show work. Units! 1. 2. 3. 5m 12. acm 3. acm locm A=on A-sa