### Wrapping a Rectangular PrismMason wraps a gift box in the shape of a right rectangular prism. The figure below shows a net for the gift box.![Rectangular Prism Net](#)#### Net Dimensions:- The net consists of six rectangular faces.- Each of the faces is labeled with its dimensions. - Top and bottom faces (2 rectangles): 15 in x 7 in - Front and back faces (2 rectangles): 7 in x 13 in - Left and right faces (2 rectangles): 7 in x 13 in#### Calculation:To find out how much wrapping paper Mason used, we need to calculate the total surface area of the net.##### Surface Area Calculation:1. **Top and Bottom Faces**: 2 rectangles each measuring 15 in x 7 in. - Surface Area = 2 * (15 in * 7 in) = 2 * 105 in² = 210 in²2. **Front and Back Faces**: 2 rectangles each measuring 7 in x 13 in. - Surface Area = 2 * (7 in * 13 in) = 2 * 91 in² = 182 in²3. **Left and Right Faces**: 2 rectangles each measuring 7 in x 13 in. - Surface Area = 2 * (7 in * 13 in) = 2 * 91 in² = 182 in²##### Total Surface Area:- Total Surface Area = 210 in² (Top and Bottom) + 182 in² (Front and Back) + 182 in² (Left and Right)- Total Surface Area = 574 in²So, the amount of wrapping paper Mason used is **574 square inches**.#### Answer:\[ \text{A} = \underline{574} \, \text{in}^2 \]Now that you know how to calculate the surface area of a right rectangular prism, you can try applying this method to other three-dimensional objects. Understanding how to calculate surface areas is a fundamental skill in geometry that has many practical applications, such as packaging and material estimation.

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Description: ### Wrapping a Rectangular PrismMason wraps a gift box in the shape of a right rectangular prism. The figure below shows a net for the gift box.![Rectangular Prism Net](#)#### Net Dimensions:- The net consists of six rectangular faces.- Each of the

The area of a rectangle is the product of the length of the rectangle and the width of the rectangle…

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Geometry

Mason wraps a gift box in the shape of a right rectangular prism. The figure below shows a net for the gift box. 15 in 7 in 7 in 13 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

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### Wrapping a Rectangular Prism

Mason wraps a gift box in the shape of a right rectangular prism. The figure below shows a net for the gift box.

![Rectangular Prism Net](#)

#### Net Dimensions:
- The net consists of six rectangular faces.
- Each of the faces is labeled with its dimensions.
- Top and bottom faces (2 rectangles): 15 in x 7 in
- Front and back faces (2 rectangles): 7 in x 13 in
- Left and right faces (2 rectangles): 7 in x 13 in

#### Calculation:
To find out how much wrapping paper Mason used, we need to calculate the total surface area of the net.

##### Surface Area Calculation:
1. **Top and Bottom Faces**: 2 rectangles each measuring 15 in x 7 in.
- Surface Area = 2 * (15 in * 7 in) = 2 * 105 in² = 210 in²

2. **Front and Back Faces**: 2 rectangles each measuring 7 in x 13 in.
- Surface Area = 2 * (7 in * 13 in) = 2 * 91 in² = 182 in²

3. **Left and Right Faces**: 2 rectangles each measuring 7 in x 13 in.
- Surface Area = 2 * (7 in * 13 in) = 2 * 91 in² = 182 in²

##### Total Surface Area:
- Total Surface Area = 210 in² (Top and Bottom) + 182 in² (Front and Back) + 182 in² (Left and Right)
- Total Surface Area = 574 in²

So, the amount of wrapping paper Mason used is **574 square inches**.

#### Answer:
\[ \text{A} = \underline{574} \, \text{in}^2 \]

Now that you know how to calculate the surface area of a right rectangular prism, you can try applying this method to other three-dimensional objects. Understanding how to calculate surface areas is a fundamental skill in geometry that has many practical applications, such as packaging and material estimation.

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