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
Oksi-84 [34.3K]
3 years ago
15

A right rectangular prism is packed with cubes of side length 1 over 2 inches. If the prism is packed with 5 cubes along the len

gth, 3 cubes along the width, and 6 cubes along with the height, what is the volume of the prism?
A.Fraction 3 and 3 over 4 cubic inches

B.7 cubic inches

C.Fraction 11 and 1 over 4 cubic inches

D.24 cubic inches
Mathematics
1 answer:
Dmitry [639]3 years ago
5 0

Answer:

<em>Answer: C.Fraction 11 and 1 over 4 cubic inches</em>

Step-by-step explanation:

The volume of a rectangular prism of length L, width W, and height H is given by:

V=LWH

The prism is packed with cubes of a side length of a=1/2 inch. The volume of each cube is:

V_c=a^3=\left(\frac{1}{2}\right)^3=\frac{1}{8}\ in^3

The prism is packed with L=5, W=3, and H=6, thus the volume (in cubes) is:

V=5*3*6=90\ cubes

Since each cube has a volume of \frac{1}{8} in^3:

V=90\cdot\frac{1}{8}=\frac{45}{4}

Expressing as a mixed fraction:

V=\frac{45}{4}=\frac{44+1}{4}=11\frac{1}{4}

Answer: C.Fraction 11 and 1 over 4 cubic inches

You might be interested in
A scientist finds the distances d that two snakes travel in a time of t seconds. the equation 16t = d represents the relationshi
wlad13 [49]
From the equation given, the time for the black mamba snake to cover distance d, will be d/16 while that for the the rought-scaled snake would be d/1.5.
Assume that the distance covered by both snakes is 200 meters;
Then, 
Time taken by the black mamba is 200/16  = 12.5 seconds, and
Time taken by the rought-scaled snake is 200/1.5 = 133.33 seconds
Clearly the black mamba is faster at 12.5 seconds compared with the rought-scaled snake.
4 0
3 years ago
Brooke has to set up 70 chairs in equal rows for the class talent show. But, there is not room for more than 20 rows. What are t
-Dominant- [34]
5 rows of 14 chairs
7 rows of 10 chairs
Or
14 rows of 5 chairs
10 rows of 7 chairs
6 0
3 years ago
Read 2 more answers
What is the range of the exponential function f(x)=2•7x
sergeinik [125]

f(x) cannot be 0 or less than zero, but can approach+ infinity

Answer is (0, ∞)

5 0
3 years ago
Which equation represents a direct linear variation?
nevsk [136]
Y=(1/2)x cause the constant variation is 1/2
4 0
3 years ago
Read 2 more answers
MATH HELP
Veronika [31]
The remaining area is 20% of the previous area.

Hope this Helps!
4 0
3 years ago
Read 2 more answers
Other questions:
  • What are the number of possible digits to round 1_9,644 to the nearest 100,000?
    8·2 answers
  • What is<br> −5.4−(−3.2)−5.4−(−3.2) ?
    6·1 answer
  • A rectangle sand box has a length of 5 1/3 feet and a width of 3 3/4 feet. What is the perimeter?
    10·1 answer
  • A conjecture and the flowchart proof used to prove the conjecture are shown.
    13·1 answer
  • Find three points of the linear equation -x-2y=-10
    11·1 answer
  • In the diagram, point O is the center of the circle and m∠ADB = 43°. If m∠AOB = m∠BOC, what is m∠BDC?
    14·2 answers
  • Help me pleaseeee???
    11·1 answer
  • Plz help will mark as brainliest​
    14·2 answers
  • A person is running a distance race at a constant rate. What time will they finish the race what information would you need to b
    13·2 answers
  • Answer this volume based Question. I will make uh brainliest + 50 points​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!