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3 years ago

If one side of a cube is 15m in length,find its volume

Mathematics

2 answers:

sergeinik [125]3 years ago

5 0

Answer:

$V = 3375~m^{3}$

Step-by-step explanation:

The formula of the volume of a cube is $V = a^{3}$ where "a" would correspond to the length of an edge/side/height/etc.

If we insert our value into the formula, we get the following result:

$V = a^{3}$

$V = 15m^{3}$

$V = 3375~m^{3}~(cubic~meters)$

Hope it helped,

BiologiaMagister

9966 [12]3 years ago

3 0

We can find the volume of a prism using the formula shown.

Volume = Length × Width × Height

Notice that our prism is a cube. Since the length, width, and height of a cube are all equal, we can find the volume of the cube my multiplying side × side × side or s³.

Notice that we have a side length of 15 m so we can plug this into our formula for the volume of a prism.

<h3>Volume = S³</h3><h3>(15 m)³</h3><h3>3,375 m³.</h3>

You might be interested in

Find an equation of the line through (2,6) and parallel to y=2x+3

Setler [38]

Step-by-step explanation:

We first Find the Slope of the line y=2x+3

The Slope Intercept Form of the equation of a given line is:

y=mx+c

where m is the Slope of that line, and c is the Y intercept.

For this line, the Slope is 2

So the Slope of the line PARALLEL to y=2x+3 will also be 2. And we are given that it passes through the point (2,6)

The Point-Slope form of the Equation of a Straight Line is:

(y−k)=m⋅(x−h)

m is the Slope of the Line

(h,k) are the co-ordinates of any point on that Line.

Here, we have been given the coordinates (h,k) of 1 point on that line as (2,6)

And the Slope m is 2

Substituting the values of h,k and m in the Point-Slope form, we get

(y−2)=(2)⋅(x−6)

(y−2)=2⋅(x-6)

y−2=2x -12

y=2x -12 +2

y=2x-10

The graph will look like

graph{y=2x -10 10 [10, -10, 5, - 5]}

3 0

3 years ago

Need step by step explanation please.

ryzh [129]

1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³

2. Volume of the cylinder = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³

<h3>What is the Volume of a Cylinder and Volume of a Sphere?</h3>

Volume of Cylinder = πr²h
Volume of Sphere = 4/3πr³

Diameter of the tennis ball = 4 in. (given)

1. Volume of 1 tennis ball = volume of sphere = 4/3πr³

r = 1/2(4 in.) = 2 in.

Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³

2. Volume of the cylinder = πr²h

Radius of the cylinder (r) = 1/2(4 in.) = 2 in

Height of the cylinder (h) = 3(4 in.) = 12 in

Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)

= 150.8 - 3(33.51) = 50.27 in.³

Learn more about volume of a cylinder and a sphere on:

brainly.com/question/64165

4 0

2 years ago

a rectangle is 28 feet by 41 feet. If it can be determined, which of the following gives the whole number length, in feet, of a

rjkz [21]

Answer:

c = 20 ft

Step-by-step explanation:

The largest square will be 14 sqrt(2) ft long

To figure out the side length of the square

use the pythagorean theorem

a^2 + b^2 =c^2

we are limited by the shortest side of the rectangle

28 ft

each side of the triangle is 1/2 the length of the short side of the rectangle or 14 ft

a^2 + b^2 =c^2

14^2 + 14^2 = c^2 where c is the side of the square

196 + 196 = c^2

392 = c^2

take the square root of each side

sqrt(392) = sqrt(c^2)

c = 14sqrt(2)

c = 19.799ft

to the nearest whole number

c = 20 ft

5 0

3 years ago

Tell whether xy is positive or negative. If x is negative and y is positive, the product is

mamaluj [8]

Negative. A negative number times a positive number is equal to a negative number. X multiplied by Y is a positive.

6 0

3 years ago

The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 21 people reveals the mean yearly consum

PIT_PIT [208]

Correct question is;

The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 21 people reveals the mean yearly consumption to be 74 gallons with a standard deviation of 16 gallons.

a. What is the value of the population mean? What is the best estimate of this value?

b. Explain why we need to use the t distribution. What assumption do you need to make?

c. For a 90 percent confidence interval, what is the value of t?

d. Develop the 90 percent confidence interval for the population mean.

e. Would it be reasonable to conclude that the population mean is 68 gallons?

Answer:

A) Best estimate = 74 gallons

B) because the population standard deviation is unknown. The assumption we will make is that the population follows the normal distribution.

C) t = 1.725

D) 90% confidence interval for the population mean is (67.9772, 80.0228) gallons

E) Yes

Step-by-step explanation:

We are given;

Sample mean; x' = 74

Sample population; n = 21

Yearly Standard deviation; s = 16

A) We are not given the population mean.

So the closest estimate to the population mean would be the sample mean which is 74.

B) We are not given the population standard deviation and as such we can't use normal distribution. So what is used when population standard deviation is not known is called t - distribution table. The assumption we will make is that the population follows the normal distribution.

C) At confidence interval of 90% and DF = n - 1 = 21 - 1 = 20

From t-tables, the t = 1.725

D) Formula for the confidence interval is;

x' ± t(s/√n) = 74 ± 1.725(16/√21) = 74 ± 6.0228 = 67.9772 or 80.0228

Thus 90% confidence interval for the population mean is (67.9772, 80.0228) gallons

E) 68 gallons lies within the range of the confidence interval, thus we can say that "Yes, it is reasonable"

8 0

3 years ago