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
777dan777 [17]
3 years ago
12

(Help with this Please?)

Mathematics
1 answer:
Yakvenalex [24]3 years ago
4 0

Answer:

A) 30 cubes.

B) 30 units³.


Step-by-step explanation:

A) 1. Calculate the volume of the rectangular prism, as following:

Vr=(lenght)(width)(height)

2. You have that:

- The length is: 1^{\frac{1}{2}}ft=1.5ft

- The width is: 1ft

- The heigth is: 2^{\frac{1}{2}}ft=2.5ft

3. Substitute these values into the formula:

Vr=(1.5ft)(1ft)(2.5ft)=3.75ft^{3}

4. The volume of one cube is:

Vc=side^{3}

5. The length of one side is: \frac{1}{2}ft=0.5ft

6. Substitute this value into the formula:

Vc=(0.5ft)^{3}=0.125ft^{3}

7. The number of small cubes that can be packed in the rectangular prism is:

cubes=\frac{Vr}{Vc}\\cubes=\frac{3.75ft^{3}}{0.125ft^{3}}\\cubes=30

B) 1. The length, the width and the height of the rectangular prism in term of units cubes is:

Length=\frac{1.5ft}{0.5ft}=3units

Width=\frac{1ft}{0.5ft}=2units

Heigth=\frac{2.5ft}{0.5ft}=5units

2. Therefore, the volume of the rectagular prism in terms of the small cube and a unit cube is:

Vr=(3units)(2units)(5units)=30units^{3}

You might be interested in
Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. Explain your reason
rosijanka [135]

Answer:it’s 19 inches and 60 inches.

Step-by-step explanation:

3 0
3 years ago
Len has 3 strips of construction paper. Each strip is the same size and a different color-red, yellow, and pink. He tapes the st
Helen [10]

Answer:

2/6

Step-by-step explanation:

Each of the rectangle strips are taped together to form a rectangle. Therefore 1 of the third of the rectangle would be red, this means that 1/3 of the rectangle would be red color. The rectangle is then divide into sixths, this can be achieved by dividing each of the taped strip into 2.

Therefore 2 of the sixths rectangle would be red in color, Hence the fraction of the rectangle that would be red is given as 2/6

7 0
2 years ago
The average cost of a bag of popcom at
shepuryov [24]

Answer:

B 26.3% increase

Step-by-step explanation:

1 - 3.50/4.75 = .263 = 26.3%

7 0
3 years ago
Please help me ASAP <br> Please help
son4ous [18]

9514 1404 393

Answer:

  5 cm

Step-by-step explanation:

The kite is symmetrical about the long axis, so the height of each of the triangles is half the overall width of the kite. (10 cm/2 = 5 cm)

The height of the triangle <em>h</em> is 5 cm.

3 0
2 years ago
Write twenty billion,one million thirty thousand and one as a number
Semmy [17]

Answer:

20,001,030,001

5 0
2 years ago
Read 2 more answers
Other questions:
  • What is the Volume?
    11·1 answer
  • Which of the following best describes y with respect to x in the equation y=3x-2?​
    5·1 answer
  • Seraphina says that △KLM is a right<br> triangle. Is she correct? Expain.
    9·1 answer
  • The minimum size of a photo book ordered through a website is 6 pages. The website charges $1.70 per page for the first 6 pages.
    8·1 answer
  • Solve the given problem. Lizzie is 2 years older than three times her sister Clarissa’s age. If Clarissa is 4 years old, how old
    10·2 answers
  • 9 members of a club. Need 3 officers. How many combinations are possible.
    5·1 answer
  • If CP=Rs 500 and SP=550.find profit and profit percent%.
    13·1 answer
  • The cost to rent a car is $25 plus an additional $0.15 for each mile the car is driven. How many miles was a car driven if it ha
    10·2 answers
  • Angles In Triangles ​
    7·2 answers
  • 10 people were trying to be one of thefirst 5 callers to a radio station. howmany different sets of people couldhave succeeded?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!