1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dezoksy [38]
3 years ago
6

Hardy is packing his book collection into a box. Each book measures 4inches by 6 inches by 1 inch. The box he uses measures 24 i

n by 24in by 8in.
If Hardy fills the box completely, what is the greatest number of books that fit into the box?
If Hardy fills the box completely with the least number of layers, there will be (blank) books on the bottom layer.
To fill the box completely, Hardy places 8 layers of books in the box. There are (blank) books in each layer.

Thank you in advance for the help! Just a mom who hates math trying to help her kid with volume.
Mathematics
1 answer:
netineya [11]3 years ago
5 0

Answer:

<u>1. 192 books.  </u>

<u>2. 96 books.  </u>

<u>3. 24 books. </u>

Step-by-step explanation:

1. Let's find the volume of each book and the volume of the box, this way:

Volume of a book = 4 * 6 * 1 = 24 inches ³  

Volume of the box = 24 * 24 * 8 = 4,608 inches ³

2. If Hardy fills the box completely, what is the greatest number of books that fit into the box?

Greatest number of books = Volume of the box/Volume of a book

Greatest number of books = 4,608/24

Greatest number of books = 192

3. If Hardy fills the box completely with the least number of layers, there will be (blank) books on the bottom layer.

The height of the box is 8 inches, so it can only can hold 2 or 8 layers of books, since the books are 4 * 6 * 1 inches.  

Greatest number of layers = Height of the box/Width of a book  

Greatest number of layers = 8/1 = 8  

Minimum number of layers = Height of the box/Height of a book  

Minimum number of layers = 8/4 = 2  

Upon saying that, we have:  

Number of books per layer = Greatest number of books/Minimum number of layers  

Number of books per layer = 192/2 = 96

4. To fill the box completely, Hardy places 8 layers of books in the box. There are (blank) books in each layer.

Number of books per layer = Greatest number of books/Number of layers

Number of books per layer = 192/8  

Number of books per layer = 24

Note: Same answer to question 14559894, answered by me today.

You might be interested in
16) What is the percent of increase from 15 to 60?
Eduardwww [97]

Answer:

400%

Step-by-step explanation:

3 0
3 years ago
Sonora currently has an account balance of $1,822.07. Her initial deposit on the account was $781 and it earned 4.3% simple inte
Tanya [424]

Answer: 31

Step-By-Step Explanation:

3 0
3 years ago
Pls anwser this :) it’s math (5)
sleet_krkn [62]

Answer:

The answer is 4

Step-by-step explanation:

2/3 x 6= 4

4 0
3 years ago
15x+12=45+4x<br> whats x?
saul85 [17]

<span>15x+12=45+4x </span>⇒15x - 4x = 45 - 12 ⇒ 11x = 33 ⇒ x = 3


4 0
3 years ago
Read 2 more answers
Dont trust breekall indian hacker/and help please
ollegr [7]

Answer:

ok....

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • Jenny is going to paint the wall in her bedroom her while measures 25 feet long by 15 feet wide she plans to buy enough paint to
    7·1 answer
  • Help please!! 20 points and brainliest!!
    14·1 answer
  • If you could answer that I would be really grateful
    6·1 answer
  • PLEASE HELP QUICK Suppose a particle is moving along the x-axis. The position, measured in feet, of the particle can be modeled
    12·1 answer
  • Urgent!!
    12·1 answer
  • Parallel to the line y= -2x + 4 and passes through point A(2, 4)
    11·2 answers
  • Which of the following shows the division problem below in synthetic division form? 3x^2-10x+7/x+4
    11·1 answer
  • 2.2x + 2.2 / 4= 1.1 ​
    6·2 answers
  • Factor the trinomial or state that the trinomial is prime 3a^2 -10a-32
    6·1 answer
  • All whole numbers can also be classified as<br> integers and rational numbers.<br> True<br> False
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!