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
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.1: Triangles
Problem 1C
Related questions
Question
100%
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.)
**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7df178d-010f-402d-9c23-62c484dd4d2a%2Ff7b207a6-0358-435f-a702-dff4f6389c81%2Ff8g5lyn_processed.png&w=3840&q=75)
Transcribed Image Text:### 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 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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt