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
exis [7]
3 years ago
11

A rectangular prism has a base that is 4 m by 6 m and a height of 10 m. If all dimensions are doubled, what happens to the volum

e? Explain the steps that you take to arrive at your answer.
Mathematics
2 answers:
Anastasy [175]3 years ago
6 0

Answer:

Start by calculating the volume of the original prism. The area of the base, B, is 4(6) = 24 m2. Multiply that by the height to get the volume: 24(10) = 240 m3. Now, if you double all of the dimensions, you would have a rectangular prism with a base that is 8 m by 12 m and a height of 20 m. The area of the base, B, is 8(12) = 96 m2. Multiply that by the height to get the volume: 96(20) = 1,920 m3. To compare, look at the ratio of the original prism to the new prism: 96/1,920 = 1/8. The volume increases by 8 times the original volume.

Step-by-step explanation:

Sample response

nirvana33 [79]3 years ago
3 0
When the dimensions of a rectangular prism will be doubled, its volume won't only be doubled but it will be 8 times as much.

The original volume of the rectangular prism is LxWxH.

V= LxWxH
V= (6m) (4m) (10m)
V= 240m³

If we double the dimensions, the volume would be

V= 2L x 2W x 2H
V= 2 x 6m x 2 x 4m x 2 x 10m
V= 2 x 2 x 2 x 6m x 4m x 10m
V= 2³ (6m x 4m x 10m)
V= 2³ x 240m³
V = 8 x 240m³
V= 1920 m³

The new volume now is 1,920 m³, which makes the rectangular prism larger than the original.
You might be interested in
The radius of a semicircle is 4 miles. What is the semicircle's area?
adell [148]

Answer:

8\pi miles or 25.133 miles

Step-by-step explanation:

your radius is 4 miles.

The area of a circle is A= \pi r^{2}

Therefore, the area of this circle is 4^{2} \pi, or 16\pi

Half of this area, because what you're looking for is a semi-circle, is:

8\pi (exact) or 25.133 (rounded) miles.

6 0
2 years ago
Waiting times to receive food after placing an order at the local subway sandwich shop follow an exponential distribution with a
Debora [2.8K]
;lkjhgfdsaqwertyuiop[];lkjhgfdsaertyuiop[]
4 0
4 years ago
Answer this question please and thank you
Fiesta28 [93]

Answer:

7/8 to the 7th power

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
4. Evaluate f(x) = - 9x + 8 at the given value
allsm [11]

Answer:

y= 9x + 8

Step-by-step explanation:

6 0
3 years ago
Please help me ASAP!!
vodomira [7]

It's A.



20characters40characters

4 0
3 years ago
Other questions:
  • I really need help pleaseee
    8·1 answer
  • Hhhhhhhhhhhhhhhhhhhhhheeeeeeeeelp
    9·1 answer
  • For which set of data will the scatter plot represent a positive linear association between x and y?
    14·1 answer
  • Determine the displacement of end A with respect to end D if the diameters of each segment are dAB = 0.85 in ., dBC = 1.1 in .,
    15·1 answer
  • What does use a multiplicative comparison to explain its meaning mean?
    13·1 answer
  • 2 liters converts to ounces.
    15·2 answers
  • Solve the problem. A $8920 note is signed, for 160 days, at a discount rate of 6.5 % Find the proceeds.
    14·2 answers
  • A small tile balcony is shown . Each tile is 9 square inches .what is the area of the shaded section in square inches
    5·1 answer
  • Can a polynomial be a factor of another polynomial?? HELPPP pleassee♡
    9·1 answer
  • if i have made 500 dollars with 30 workers under me and each worker gets 60% of profits that i sell how much would i be making?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!