powered by desmos 3D 12 in. 14 in. 13 in. What is the surface area of the figure shown above? (Round to the nearest whole number) O 1012 O 2184 O 1540 O 2800
powered by desmos 3D 12 in. 14 in. 13 in. What is the surface area of the figure shown above? (Round to the nearest whole number) O 1012 O 2184 O 1540 O 2800
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
![### Understanding Surface Area Calculation
#### Problem Statement:
Calculate the surface area of the rectangular prism depicted. The dimensions of the prism are provided as follows:
- Height: 12 inches
- Width: 14 inches
- Depth: 13 inches
#### Diagram Explanation:
The diagram showcases a three-dimensional rectangular prism. The edges of the prism are marked with the following measurements:
- One vertical edge is labeled as 12 inches.
- The width (horizontal base) is labeled as 14 inches.
- The depth (side base) is labeled as 13 inches.
#### Solution Options:
Students need to determine the surface area of this prism and round their answer to the nearest whole number. They can choose from the following options:
- 1012
- 2184
- 1540
- 2800
#### Calculation:
To find the surface area of a rectangular prism, you use the formula:
\[ \text{Surface Area} = 2lw + 2lh + 2wh \]
Where \( l \) is the length, \( w \) is the width, and \( h \) is the height.
Using the given dimensions:
- Length (l) = 13 inches
- Width (w) = 14 inches
- Height (h) = 12 inches
Plugging in these values:
\[ \text{Surface Area} = 2(13 \times 14) + 2(13 \times 12) + 2(14 \times 12) \]
\[ \text{Surface Area} = 2(182) + 2(156) + 2(168) \]
\[ \text{Surface Area} = 364 + 312 + 336 \]
\[ \text{Surface Area} = 1012 \]
Thus, the correct answer is 1012.
#### Answer Choices:
- 1012 ⬅️ (Correct Answer)
- 2184
- 1540
- 2800
By understanding and following the steps for calculating the surface area of a rectangular prism, students can solve this problem effectively.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F34dbf93a-185c-4522-bbbf-f73f18b87311%2Ff03ea4ac-fcdc-4ac3-a354-38ccc83bbacb%2Fk982hzf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding Surface Area Calculation
#### Problem Statement:
Calculate the surface area of the rectangular prism depicted. The dimensions of the prism are provided as follows:
- Height: 12 inches
- Width: 14 inches
- Depth: 13 inches
#### Diagram Explanation:
The diagram showcases a three-dimensional rectangular prism. The edges of the prism are marked with the following measurements:
- One vertical edge is labeled as 12 inches.
- The width (horizontal base) is labeled as 14 inches.
- The depth (side base) is labeled as 13 inches.
#### Solution Options:
Students need to determine the surface area of this prism and round their answer to the nearest whole number. They can choose from the following options:
- 1012
- 2184
- 1540
- 2800
#### Calculation:
To find the surface area of a rectangular prism, you use the formula:
\[ \text{Surface Area} = 2lw + 2lh + 2wh \]
Where \( l \) is the length, \( w \) is the width, and \( h \) is the height.
Using the given dimensions:
- Length (l) = 13 inches
- Width (w) = 14 inches
- Height (h) = 12 inches
Plugging in these values:
\[ \text{Surface Area} = 2(13 \times 14) + 2(13 \times 12) + 2(14 \times 12) \]
\[ \text{Surface Area} = 2(182) + 2(156) + 2(168) \]
\[ \text{Surface Area} = 364 + 312 + 336 \]
\[ \text{Surface Area} = 1012 \]
Thus, the correct answer is 1012.
#### Answer Choices:
- 1012 ⬅️ (Correct Answer)
- 2184
- 1540
- 2800
By understanding and following the steps for calculating the surface area of a rectangular prism, students can solve this problem effectively.
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