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VashaNatasha [74]
3 years ago
5

A rectangular prism has a base that is 5 cm by 7 cm and a height of 12 cm. if all dimensions are doubled, what happens to the vo

lume?
Mathematics
2 answers:
Maurinko [17]3 years ago
7 0
We know, Volume of rectangular prism = l * b * h
If all dimensions are doubled, then it would be: 2 * 2 * 2 * v
V' = 8V

In Short, Volume will increase to it's 8 times

Hope this helps!
Lena [83]3 years ago
5 0

Answer: The volume will become 8 times.

Step-by-step explanation:  Given that a rectangular prism has base of dimensions 5 cm by 7 cm and height of the prism is 12 cm.

We are to find the change in volume if all the dimensions are doubled.

The VOLUME of a rectangular prism having base of dimensions 'l' by 'w' and height 'h' is given by

V=l\times w\times h.

Here, l = 7 cm, w = 5 cm and h = 12 cm

So, the volume of the prism is

V=5\times 7\times 12=420~\textup{cm}^3.

Now, when all the dimensions are doubled, then we have

l' = 2l = 2 × 5 = 10 cm,

w' = 2w = 2 × 7 = 14 cm,

h' = 2h = 2 × 12 = 24 cm.

The volume f the new prism will be

V_n=10\times 14\times 24=3360~\textup{cm}^3

We have

\dfrac{V'}{V}=\dfrac{3360}{420}=8\\\\\Rightarrow V'=8V.

Thus, the volume will become 8 times the volume of the original prism.

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Find the inner product for (-8,2) (4.5,18) and state whether the vectors are perpendicular.
Anna71 [15]

Answer: 0; Yes

Step-by-step explanation:

-8 x 4.5 = -36

2 x 18 = 36

-36 + 36 = 0

since the product is zero, the vectors are perpendicular

3 0
3 years ago
A bus travels at a constant speed of 48 km/h. How long will it take to travel 600 km?
grigory [225]

Answer:

It will take 12 and 30 hours

Step-by-step explanation:

To solve this, you need to divide by <u>distance needed to travel by the speed</u>

600/48 is equal to 12.5 hours.

.5 hours is equal to 30 mins because 60mins times .5 is 30 minutes, therefore <u>the final answer is 12.5 hours</u>

I hope this helps :)

7 0
3 years ago
A candle shop sells scented candles for $16 each and unscented candles for $10 each. The shop sells 20 candles today and makes $
Amanda [17]

The system of equations becomes:

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5 0
3 years ago
A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain sca
blondinia [14]

The confidence interval for mean of the "before-after" differences is \fbox{(-0.4037,1.8037)}

Further explanation:

Find the difference between the before pain and the after pain.

Difference = before-after

Kindly refer to the Table for the difference of between the before and after pain.

Sum of difference = 5.6

Total number of observation = 8

Mean of difference = 0.7

Sample standard deviation s = 1.3201

Level of significance = 5\%

Formula for confidence interval = \left( \bar{X} \pm t_{n-1, \frac{\alpha}{2}\%} \frac{s}{\sqrt{n}} \right)

confidence interval = \left( 0.7 \pm t_{8-1, \frac{5}{2}\%} \frac{1.3201}{\sqrt{8}} \right)

confidence interval = \left( 0.7 \pm t_{7, \frac{5}{2}\%} \frac{1.3201}{\sqrt{8}} \right)

From the t-table.

The value of t_{7, \frac{5}{2}\%=2.365

Confidence interval = ( 0.7 \pm 2.365}\times \frac{1.3201}{\sqrt{8}}) \right)

Confidence interval = \left( 0.7 - 2.365}\times \0.4667,0.7 + 2.365}\times \0.4667) \right

Confidence interval = (0.7-1.1037,0.7+1.1037)

Confidence interval = \fbox{(-0.4037,1.8037)}

The 95\% confidence interval tells us about that 95\% chances of the true mean or population mean lies in the interval.

Yes, the hypnotism appear to be effective in reducing pain as confidence interval include includes the positive deviation from the mean.

Learn More:

1. Learn more about equation of circle brainly.com/question/1506955

2. Learn more about line segments brainly.com/question/909890  

Answer Details:

Grade: College Statistics

Subject: Mathematics

Chapter: Confidence Interval

Keywords:

Probability, Statistics, Speed dating, Females rating, Confidence interval, t-test, Level of significance , Normal distribution, Central Limit Theorem, t-table, Population mean, Sample mean, Standard deviation, Symmetric, Variance.

7 0
3 years ago
Read 2 more answers
Find the slope of the line whose equation is 2x – 4y = 10.<br><br> How do I find the slope?
yulyashka [42]
To find the slope, u need to put the equation in y = mx + b form, where m will be ur slope.

2x - 4y = 10 ... subtract 2x from both sides
-4y = -2x + 10...divide both sides by -4
y = (-2/-4)x + (-10/4)
y = 1/2x - 5/2

y = mx + b
y = (1/2)x - 5/2
the slope(m) = 1/2
3 0
3 years ago
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