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Explain the difference between the surface area and the volume of a box in a way that a student could understand./

Explain the difference between the surface area and the volume of a box in a way that a student could understand./

Elementary Geometry For College Students, 7e
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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**Question:** Explain the difference between the surface area and the volume of a box in a way that a student could understand. **Explanation:** The surface area of a box is the total area of all the sides of the box. Imagine wrapping a gift with wrapping paper. The amount of paper needed to cover the entire box is like the surface area. You calculate it by adding up the areas of all six sides (2 width x height + 2 length x height + 2 length x width). The volume of a box, on the other hand, is the amount of space inside the box. If you were filling the box with sand, the volume would be how much sand the box can hold. You calculate it by multiplying the length, width, and height of the box (length x width x height). In summary: - **Surface Area:** Measures the outside (wrapping the box). - **Volume:** Measures the inside (filling the box).
Transcribed Image Text:**Question:** Explain the difference between the surface area and the volume of a box in a way that a student could understand. **Explanation:** The surface area of a box is the total area of all the sides of the box. Imagine wrapping a gift with wrapping paper. The amount of paper needed to cover the entire box is like the surface area. You calculate it by adding up the areas of all six sides (2 width x height + 2 length x height + 2 length x width). The volume of a box, on the other hand, is the amount of space inside the box. If you were filling the box with sand, the volume would be how much sand the box can hold. You calculate it by multiplying the length, width, and height of the box (length x width x height). In summary: - **Surface Area:** Measures the outside (wrapping the box). - **Volume:** Measures the inside (filling the box).
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