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
Simplify this expression: -2x + 3 – (5 – 6x). Can someone pls explain how to do this dont just give the awnser
Verizon [17]

Answer:

-2x + 3 – (5 – 6x) = 4x - 2

Step-by-step explanation:

The given expression is :

-2x + 3 – (5 – 6x)

We need to simplify the above expression. First opening the brackets.

-2x + 3 – (5 – 6x) = -2x + 3 – 5 + 6x

Taking like terms together,

= -2x+6x + 3 -5

= 4x - 2

So, the simplified expression is 4x - 2.

5 0
3 years ago
Ivan and Tanya share £150 in the ratio 4: 1<br> Work out how much more Ivan gets compared to Tanya.
Dennis_Churaev [7]
Ivan gets £112.5(0) more than Tanya
7 0
3 years ago
On a journey of 120 km, a motorist averages
fenix001 [56]

Answer:

More

Step-by-step explanation:

Because the journey is 120km long, and the mortoristgoes less than 60km per hour.  So in 2 hours, the motorist will go less than 120 km.  So he needs more than 2 hours to go 120 km

8 0
3 years ago
Read 2 more answers
The diameter of a small gear is 16 cm.This is 2.5 cm more than 1/4 of the diameter of a larger gear.What is the diameter of the
bagirrra123 [75]
Diameter of the larger gear  х см
1/4х = 16 - 2.5
1/4x = 13.5
x = 13.5 * 4
x = 54 cm - diameter of the larger gear / 
6 0
3 years ago
Dustin has only nickels and quarters in his piggy bank. He was 49 total for combined value of $8.85. How many of each type of co
Troyanec [42]
Let's use the variables N and Q for the number of nickels and the number of quarters.

We know there are 49 total coins, so we can write the following equation:

N + Q = 49

We can solve this equation for one variable which will help in the next step. Let's solve for N:

N = 49 - Q

Next, we know that nickels are worth $0.05 and quarters are worth $0.25. We can use these values along with the total value of $8.85 to create another equation.

0.05N + 0.25Q = 8.85

Now we can use substitution to solve our system out equations. We solved the first equation for N, so we can plug 49 - Q in for N.

0.05(49-Q) + 0.25Q = 8.85

Distribute and combine like terms.

2.45 - 0.05Q + 0.25Q = 8.85

2.45 + 0.2Q = 8.85

0.2Q = 6.4

Q = 32

Plug 32 in for Q in N + Q = 49 to find the number of nickels.

N + 32 = 49

N = 17

Dustin has 32 quarters and 17 nickels.


4 0
3 years ago
Other questions:
  • What is the slope of the line?
    14·1 answer
  • What is the surface area of the right prism given below?
    6·1 answer
  • Help me please.What is the answer
    5·1 answer
  • Shelia mixed 3 ounces of blue paint with 2 ounces of yellow paint. She decided to create 20 ounces of the same mixture. How many
    13·2 answers
  • Please help need answer asp
    11·2 answers
  • How do I find the surface area of a cylinder?
    13·2 answers
  • What is the tenth term in the sequence?
    13·1 answer
  • - Each day, Oliver earns $50 plus $8.50 for each package he delivers. If his paycheck for the first day was $152, how many packa
    7·1 answer
  • Please help this is (finding the volume of a cone) any tips, answers anything ??
    13·2 answers
  • Solve by substitution y=-2x y=8x-10
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!