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
Korolek [52]
2 years ago
6

Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are inches long, inches wide, and 8 inche

s tall. To transport the items to an event, you want to know how many of the small boxes will fit in larger boxes. The larger boxes are available in two sizes. Large Box 1 is inches long, 18 inches wide, and 24 inches tall. Large Box 2 is inches long, inches wide, and 24 inches tall. Both the small and large boxes must remain upright.
Mathematics
1 answer:
allochka39001 [22]2 years ago
7 0

Answer:

- The number of small boxes that will fill the large box 1 = 64

- The number of small boxes that will fill the large box 2 = 56

Step-by-step explanation:

Complete Question

Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are 4.5 inches long, 4.5 inches wide, and 8 inches tall. To transport the items to an event, you want to know how many of the small boxes will fit in larger boxes. The larger boxes are available in two sizes. Large Box 1 is 24.25 inches long, 18 inches wide, and 24 inches tall. Large Box 2 is 20.5 inches long, 18.5 inches wide, and 24 inches tall. Both the small and large boxes must remain upright.

Solution

To know how many of the small boxes will fit in larger boxes, we need to obtain the volumes of the small box, large box 1 and large box 2.

Volume of a cuboid = L × W × H

For the small box,

Length = L = 4.5 inches

Width = W = 4.5 inches

Height = H = 8 inches

Volume of the small box = 4.5 × 4.5 × 8 = 162 in³

For large box 1,

Length = L = 24.25 inches

Width = W = 18 inches

Height = H = 24 inches

Volume of the large box 1 = 24.25 × 18 × 24 = 10,476 in³

For large box 2

Length = L = 20.5 inches

Width = W = 18.5 inches

Height = H = 24 inches

Volume of the large box 2 = 20.5 × 18.5 × 24 = 9,102 in³

The number of small boxes that'll fill the large box 1 = (10,476/162) = 64.667 = 64 small boxes (rounded down because the fraction cannot be forced into the large box 1.

The number of small boxes that will fill the large box 2 = (9,102/162) = 56.185 = 56 small boxes.

Hope this Helps!!!

You might be interested in
A study found that average there were 566,000 tweets per hour using this data how many tweets are there per minute
Mazyrski [523]

Answer:

D

Step-by-step explanation:

566,000/60 = 9433 1/3 = 9433.3

7 0
3 years ago
Fr ee points. Hurry.
mezya [45]

Oh yes, I am very hurrying, yet!

4 0
2 years ago
What is the purpose of repetition in measurement?
zaharov [31]
To identify meauserment / user mistakes made when measuring.
3 0
3 years ago
I need help please and thank you
gayaneshka [121]
What’s the question?
4 0
3 years ago
Read 2 more answers
When Sherron inputs the equation 4x + 3 = 4(1 + x) + 1, she gets a<br> error message. Explain why.
astraxan [27]

Answer:

She gets

Step-by-step explanation:

She gets an error message because when solving a linear equation, the coefficient of the variable is not meant to be the same on both sides of the equation because it will equal 0 in the end. In this equation, you will get 4x on both sides and then the last step will be 0= 3. This is an error.

6 0
2 years ago
Other questions:
  • suppose that Y and Z are points on the number line if YZ=11 and Y lies on -9 where would Z be located
    6·1 answer
  • A solid is composed of a cylinder with a radius of 9" and height of 20" and a hemisphere, as shown. Find the volume of this soli
    14·2 answers
  • BEST ANSWER GETS BRAINLIEST<br> What is 14b + 6b - 12
    12·1 answer
  • 12. In ∆PQR, if m∠P is 14 less than five times x, m∠Q is five less than x, and m∠R is nine less than twice x, find x and the mea
    11·1 answer
  • Why is the answer C? Plz explain
    6·1 answer
  • Write the equation of a line in point-slope form that is parallel to the line y = 3x +6 and passes through the point (-5, 8).
    13·2 answers
  • Ethan needs to save at least $500 to purchase a new dirt bike. So far, he has saved $175. If he hopes to use two-fifths of his n
    11·2 answers
  • Some ppl might think this is easy
    12·2 answers
  • Find the solution of the system of equations.<br><br>6x+y=30<br><br>−2x−5y=18
    13·1 answer
  • :what kind of triangle is this if two<br> angles are 60 degrees
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!