The daycare has two sandboxes that are both prisms with regular hexagons as their bases. The smaller sandbox has a base area of 1,146 square inches and is filled 10 inches deep with sand. It took 14 bags of sand to fill the small sandbox to this depth. What volume of sand comes in one bag? (Round to the nearest whole cubic inch.) ### Filling the SandboxThe daycare has two sandboxes that are both prisms with regular hexagons as their bases. The smaller sandbox has a base area of 1,146 square inches and is filled 10 inches deep with sand.![Diagram of a hexagonal prism](image-url)**Diagram Explanation:**- The diagram shows a hexagonal prism sandbox.- The base of the sandbox is a regular hexagon.- The dimensions of the base hexagon are given: - Each side of the hexagon is 21 inches long. - The sandbox is filled with sand up to a depth of 10 inches.**Problem Statement:**It took 14 bags of sand to fill the small sandbox to this depth. **Question:**What volume of sand comes in one bag? (Round to the nearest whole cubic inch.)**Input Box:**[ ]**Submit Button:**[Submit]Use this information to calculate the volume of sand in one bag. The base area and depth will help you determine the total volume of the sand, and from there, you can find out how much sand each bag contains.

Answered: Image /qna-images/answer/f7b207a6-0358-435f-a702-dff4f6389c81.jpg

Filling the Sandbox The daycare has two sandboxes that are both prisms with regular hexagons as their bases. The smaller sandbox has a base area of 1,146 square inches and is filled 10 inches deep with sand. 3 inches It took 14 bags of sand to fill the small sandbox to this depth. 10 inches What volume of sand comes in one bag? (Round to the nearest whole cubic inch.) Submit 21 inches

Filling the Sandbox The daycare has two sandboxes that are both prisms with regular hexagons as their bases. The smaller sandbox has a base area of 1,146 square inches and is filled 10 inches deep with sand. 3 inches It took 14 bags of sand to fill the small sandbox to this depth. 10 inches What volume of sand comes in one bag? (Round to the nearest whole cubic inch.) Submit 21 inches

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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The daycare has two sandboxes that are both prisms with regular hexagons as their bases. The smaller sandbox has a base area of 1,146 square inches and is filled 10 inches deep with sand.

It took 14 bags of sand to fill the small sandbox to this depth. What volume of sand comes in one bag? (Round to the nearest whole cubic inch.)

### Filling the Sandbox

The daycare has two sandboxes that are both prisms with regular hexagons as their bases. The smaller sandbox has a base area of 1,146 square inches and is filled 10 inches deep with sand.

![Diagram of a hexagonal prism](image-url)

**Diagram Explanation:**
- The diagram shows a hexagonal prism sandbox.
- The base of the sandbox is a regular hexagon.
- The dimensions of the base hexagon are given:
- Each side of the hexagon is 21 inches long.
- The sandbox is filled with sand up to a depth of 10 inches.

**Problem Statement:**
It took 14 bags of sand to fill the small sandbox to this depth.

**Question:**
What volume of sand comes in one bag? (Round to the nearest whole cubic inch.)

**Input Box:**
[ ]

**Submit Button:**
[Submit]

Use this information to calculate the volume of sand in one bag. The base area and depth will help you determine the total volume of the sand, and from there, you can find out how much sand each bag contains.

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