Find the surface 3 in. area of the Tissues composite figure created by stacking 3 in. Tissues the boxes shown. 3 in. [?] square inches Tissues 4 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
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**Title: Calculating Surface Area of a Composite Figure**

**Description:**
In this educational activity, we explore how to find the surface area of a composite figure formed by stacking boxes. The configuration includes:

- Three boxes, each labeled "Tissues," piled vertically.
- Each box has a consistent height of 3 inches.
- The width at the bottom of each box is 8 inches.
- The composite figure includes an additional height of 4 inches at the base layer.

**Objective:**
Determine the total surface area of the stacked boxes.

**Steps to Calculate:**

1. **Find the Surface Area of Each Face:**
   - **Front and Back Faces:** Since each box has a front and back face, calculate the area for one, then double it. Each face has dimensions of 8 inches (width) by (3 inches + 3 inches + 3 inches + 4 inches) for a total height of 13 inches.
   - **Top and Bottom Faces:** Measure 8 inches in width by 3 inches in depth.
   - **Side Faces:** Measure 3 inches in depth by 13 inches in height.

2. **Calculate Surface Areas Individually:**
   - Determine the area of each unique face on the composite figure.
   
3. **Sum the Surface Areas:**
   - Add up all calculated areas to find the total surface area of the composite figure.

**Final Calculation:**
Express the final surface area as a total in square inches.

**Note:** Ensure all measurements are checked for accuracy and that the total height of all stacked boxes has been considered.

Now, attempt to complete this surface area calculation and verify your result!
Transcribed Image Text:**Title: Calculating Surface Area of a Composite Figure** **Description:** In this educational activity, we explore how to find the surface area of a composite figure formed by stacking boxes. The configuration includes: - Three boxes, each labeled "Tissues," piled vertically. - Each box has a consistent height of 3 inches. - The width at the bottom of each box is 8 inches. - The composite figure includes an additional height of 4 inches at the base layer. **Objective:** Determine the total surface area of the stacked boxes. **Steps to Calculate:** 1. **Find the Surface Area of Each Face:** - **Front and Back Faces:** Since each box has a front and back face, calculate the area for one, then double it. Each face has dimensions of 8 inches (width) by (3 inches + 3 inches + 3 inches + 4 inches) for a total height of 13 inches. - **Top and Bottom Faces:** Measure 8 inches in width by 3 inches in depth. - **Side Faces:** Measure 3 inches in depth by 13 inches in height. 2. **Calculate Surface Areas Individually:** - Determine the area of each unique face on the composite figure. 3. **Sum the Surface Areas:** - Add up all calculated areas to find the total surface area of the composite figure. **Final Calculation:** Express the final surface area as a total in square inches. **Note:** Ensure all measurements are checked for accuracy and that the total height of all stacked boxes has been considered. Now, attempt to complete this surface area calculation and verify your result!
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