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
Oliga [24]
3 years ago
9

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

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

Thank you so much for help! Just a mom who hates volume trying to help her kid with volume.
Mathematics
1 answer:
liberstina [14]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

<u>Greatest number of books = 192</u>

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

<u>Number of books per layer = 192/2 = 96 </u>

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

<u> Number of books per layer = 24</u>

You might be interested in
What line is perpendicular to the line 6x+y=-4
Arte-miy333 [17]

Answer:

DONT KNOW TO BE HONEST SEVRS ARE SWAMPED

Step-by-step explanation:

8 0
3 years ago
Find all solutions to the equation
UNO [17]
\bold{FULL ANSWERS:}

8 0
2 years ago
What was the depth of the submarine after 6 minutes
pishuonlain [190]
-120 + 13m, at time m = 6, would be -120 + 78, or -42 feet.
3 0
3 years ago
FIND THE AREA OF THE TRIANGLE!! GEOMETRY!!! SHOW WORK!!
9966 [12]

Answer: 72

Step-by-step explanation: Because if you do 18 + 24 + 30

4 0
3 years ago
Paige went to a hair stylist to get a haircut. Her bill came to $52.00, and she left an 18% tip. How much did she spend in all?
Dimas [21]
The answer is d

This is the answer because you multiply 52 by 18% and then add the answer to 52 and will getD
5 0
3 years ago
Other questions:
  • Solve the equation.<br><br> $x^2=100$
    11·1 answer
  • In a political science class, test scores were determined to be 20 times the number of hours,h, the student studied plus 3. Whic
    8·1 answer
  • a science teacher needs to collect lake water for a lab she is teaching. the lab requires each student to use 4 fluid ounces of
    10·2 answers
  • Find the length of AB. A. 16 B. 18 C. 22 D. 32<br><br>The answer is B.18
    8·1 answer
  • 23458+98432 find the sum
    10·1 answer
  • LaTeX: \frac{16}{24} 1624 in simplest form?
    9·1 answer
  • Quy tắc suy luận nào là cơ sở của suy diễn sau: "Biết rằng: 2 đường thẳng d và d' song song hoặc cắt nhau. Ta đã có d không song
    6·1 answer
  • 1. cuatro más que dos veces un número es 8
    10·1 answer
  • In a certain office tower the ground level is indicated by 0, and the underground levels are indicated by –1, –2, –3, and so on.
    5·1 answer
  • Divide. 83 ÷ 9 Enter your answer by filling in the boxes. __R __
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!