What is the volume of the prism?



Enter your answer, as a mixed number in simplest form, in the box.


cm³

The figure contains a right rectangular prism. The length of the prism is labeled 6 and one half centimeters, the width is labeled 2 and one half centimeters, and the height is labeled 2 and one half centimeters.

Answers

Answer 1

Answer:

40 [tex]\frac{5}{8}[/tex] [tex]cm^{3}[/tex]

Step-by-step explanation:

The figure is a rectangular prism, so the formula would be Volume = length x width x height.

length =  6 [tex]\frac{1}{2}[/tex] cm

width  =  2 [tex]\frac{1}{2}[/tex] cm

height  =  2 [tex]\frac{1}{2}[/tex] cm

If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 [tex]\frac{1}{2}[/tex] cm x 2 [tex]\frac{1}{2}[/tex] cm x 2 [tex]\frac{1}{2}[/tex] cm.

Without a calculator, I would first turn the mixed numbers into improper fractions.

6 [tex]\frac{1}{2}[/tex]  = [tex]\frac{13}{2}[/tex]2 [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex]

Volume = [tex]\frac{13}{2}[/tex] x  [tex]\frac{5}{2}[/tex] x  [tex]\frac{5}{2}[/tex]

When you multiply everything together you should get [tex]\frac{325}{8}[/tex].

As a mixed number, that would be 40 [tex]\frac{5}{8}[/tex] [tex]cm^{3}[/tex].


Related Questions

please help me with this it is practice and I'm confused ​

Answers

Answer:

D

Step-by-step explanation:

A function is any line that does not repeat in x-value (doesn't repeat on the x-axis).

A tip for great service is 20% of the bill. If the bill for dinner is $32, what is the total cost of dinner?

Answers

[Aforementioned Text Is Unavailable, Please Try Again Later]

identify the zeros of each function

Answers

(-5,0)

Step-by-step explanation:

Numbers that lie on the x and y axis

Can y’all recount a story where you were proud of yourself for making a good decision when it was really difficult? Thanks!

Answers

Answer:

i was proud of myself when I finally figured out a difficult math problem. I didn't even ask for help. it was a hard time for me but I eventually came through.

Write ways to represent the fraction 10/9.

Answers

Answer:

mixed number form 1 1/9

decimal form 1.11111111111111 it goes on forever

percent form 111.111111111111% it goes on forever (again)

Step-by-step explanation:

i hope that helps!

Answer:

1  1/9

Step-by-step explanation:

10/9, you get 1 as the whole number.

You have a 1 left over when dividing 10 and 9. the 1 will be over 9.

Giving you 1 as the whole number and 1/9 next to it.

Two different counting numbers from 1 to 10 were randomly chosen. What is the probability that the larger one is a multiple of the smaller one?

Answers

Answer:

7/10

Step-by-step explana

7/10 was the answer

Answer:

7/10

Step-by-step explanation:

Is the following expression greater than, less than, or equal to zero? (a^2+b^2)/(a^2+b^2+1)

so I think it's equal to but can someone verify it for me?

Answers

Answer:

is equal cuz a will be cut and be will be cut so what is left 1 is left so it is equal plz Mark me as the brainliest and thank me

find the HCF and LCM of 150 and 225

Answers

Answer:

The LCM of 150 and 225 is 450.

Steps to find LCM

Find the prime factorization of 150

150 = 2 × 3 × 5 × 5

Find the prime factorization of 225

225 = 3 × 3 × 5 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 3 × 3 × 5 × 5

LCM = 450

Look at the methods to find the HCF (150, 225)

HCF of 150 and 225 by Prime Factorization

HCF of 150 and 225 by Listing the Common Factors

Method 1: Find HCF of 150 and 225 by Prime Factorization

Represent 8 and 14 as a product of its prime factors.

Prime factorization of 150 is 2 × 3 × 5 × 5

Prime factorization of 225 is 3 × 3 × 5 × 5

The common factor in the prime factorization of 150 and 225 are 3, 5, and 5.

HCF is the product of the factors that are common to each of the given numbers.

So, HCF of 150 and 225 is 3 × 5 × 5 = 75

Method 2: Find HCF of 150 and 225 by Listing the Common Factors

The factors of 150 and 225 are shown below.

Step-by-step explanation:

Hope it is helpful.....

Explain why this common mistake is wrong. Many people might say that (2, 4) is an intercept of the equation 5x + 2y = 18.

Answers

Answer:

Step-by-step explanation:

(2,4) is point lying on the line represented by 5x + 2y  = 18.

They are not intercepts.

x-intercept is point where the line crosses the x-axis and so, y-co ordinate at x-intercept is 0.

y-intercept is point where the line crosses they-axis and so,x-co ordinate at y-intercept is 0.

5x + 2y = 18

To find x-intercept, put y = 0 in the equation

           5x = 18

             x = 18/5

             x = 3.6

To find y-intercept, put x = 0 in the equation

          2y = 18

             y = 18/2

             y = 9

x-intercept : (3.6 , 0)

y-intercept :(0, 9)

A roller coaster is at the top of a 72 m hill and weighs 134 kg. The coaster (at this moment) has____________ energy. Calculate it.
A. Kinetic Energy and 347,328J
B. Kinetic Energy and 9,648J
C. Potential Energy and 9,648J
D. Potential Energy and 94,550.4J

Answers

Answer:C

Step-by-step explenation: m=134kg,h=72m,g=10m/s

PE=mgh

PE=(134kg)(10m/s^2)(72m)

PE=964800J


What is the slope of the line?
What is the y-intercept?
Write the equation of the line

Answers

Answer:

slope is 2

y-intercept is 3

equation y=2x+3

Step-by-step explanation:

Answer:

slope=4/2 or 2

y-intercept=3

equation=y=2x+3

the slope would be 4/2 because if you do the triangle method you see that the vertical distance of y is 4 and the horizontal distance of x is 2 so that gives you 4/2 the y intercept is where the line starts at 0 which you can see is 3. if the equation is y=mx+b you plug in the slope which is 4/2 or 2 and plug in the y-intercept which is 3 which gives you y=2x+3

One of the flags in front of the United Nations sits on a pole 80 feet tall and casts
a shadow 16 feet long. At the same time of the day, another flag casts a shadow
18 feet long. How high is the other flag?
HELPPPPP

Answers

Answer:

90 feet

Step-by-step explanation:

A restaurant small salt shakers contains 0.6 ounces of salt. The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?

Answers

Answer:

13.8 ounces of salt

Step-by-step explanation:

A restaurant small salt shakers contains 0.6 ounces of salt. The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?

Step 1

Note that:

1 shaker = 0.6 ounces of salt

8 shakers = x

Cross Multiply

x = 8 × 0.6 ounces of salt

x = 4.8 ounces of salt

Step 2

The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?

This is calculated as:

18.6 ounces of salt - 4.8 ounces of salt

= 13.8 ounces of salt

people in here again and again. I think this is the last question

Answers

Answer:

2.4 cm

Step-by-step explanation:

We know the length of segment AB and the length of segment BC. To find their midpoints, we can divide their length by 2.

Let's find the midpoint of AB.

Segment AB: 10 cm Midpoint of AB: 10/2 = 5 cm

Next let's find the midpoint of BC.

Segment BC: 5.2 cmMidpoint of BC: 5.2/2 = 2.6 cm

In order to find the difference between these midpoints, we can subtract the midpoint of AB by the midpoint of BC.

5 cm - 2.6 cm = 2.4 cm

Therefore, the difference between the midpoints of AB and BC is 2.4 cm.

Find the amount and compound interest on 5000 at 6% per annum for 3 years annual

Answers

Answer:

The amount is 5,955.08

Step-by-step explanation:

Here, we want to calculate compound interest

We can find this by using the compound interest formula

A = P( 1 + r/n)^nt

A is amount

P

is the principal = 5,000

r is the interest rate = 6% = 6/100 = 0.06

n is the number of times per year in which the interest is compounded = 1

t is the number of years = 3

Substituting these values;

A = 5,000(1 + 0.06/1)^3(1)

A = 5000(1.06)^3

A = 5,955.08

Please Help!! Brainliest Answer! Thank you!

Answers

Answer:

D. 157.5

Step-by-step explanation:

Formual for sum of interior angles

(n-2)*180

so 14*180=2520

but that is the sum

divide that by 16 (2520/16) = 157.5

157.7 because if u do work smart you will get that answer

Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?

Answers

Answer:

2/3

Step-by-step explanation:

Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?

1 decametre = 10 metres

Hence,

10 meters = 6 pieces of ribbon

1 meter = x pieces

Cross Multiply

10x = 6

x = 6/10

x = 2/3 (1 meter pieces of ribbon)

y/3 + 2 = 14 I need help ​

Answers

Answer:

y = 36

Step-by-step explanation:

[tex]\frac{y}{3}+2 = 14\\\\\frac{y}{3}=14-2\\\\\frac{y}{3}=12\\\\y = 12*3\\\\y = 36[/tex]

need to pass this class!

Answers

4w+5+33=90
4w=90-5-33
4w=52
w=13

how many 2/5's are in 3

Answers

Answer:

7.5

Step-by-step explanation:

Divide 3 by 2/5

3 divided by 2/5 = 7.5

Answer:

7.5

Step-by-step explanation:

when you do 2/5 it = 0.4 then you do 3/0.4 and you get 7.5

Please help.
Algebra.

Answers

Answer 3 is (0, 5)
Answer 4 is in comments.

Answer:

the first one should be (0,-5)

the second should be (-2,1)

Step-by-step explanation:

You substitute the given value of y into your equation. 6x-y=5

6x-(-6x-5)=5

x=0

y=-6 * 0-5

y=-5

(x,y)=(0,-5)

AND

7x-6(4x+9)=-20

x=-2

y=4x(-2)+9

y=1

(-2,1)

hope this helps!

Find value of X

Thank you

Answers

Answer:

x = 98

Step-by-step explanation:

If angle D is the center then

x + 4 = 2 × (x - 47)

x + 4 = 2x - 94

4 + 94 = 2x - x

98 = x

Pl S help pls np helps helpss

Answers

Answer:

2 dollars each I think........

if a parallelogram is 1.9ft at its base and 1.5 at its height what's its area?

Answers

Answer:

2.85 ft²

Step-by-step explanation:

1.9 x 1.5

What is the equation of a line .........

Answers

Answer:

y = -x + 2, B is the answer

Step-by-step explanation:

If slope is -1, the equation is y = -x+b

Plug in (3,-1) into that equation.

-1 = -3 + b

b = 2

identify the zeros of each function please

Answers

Answer:

6 zeros in total

Step-by-step explanation:

Answer:29. (-5,0) 30. (-1,0) (3,0) 31. (0,0) (2,0) (8,0)

Step-by-step explanation:

Find the points that lie on the x axis

Find the excluded value of the function Y= - 10/6x-5. The excluded value is x =??

Answers

Answer:

The excluded value is x = 5/6

Step-by-step explanation:

Here, we want to calculate the excluded value

The excluded value is simply the value of x that will make the denominator of the fraction equals zero

We have this as;

6x -5 = 0

6x = 5

x = 5/6

4--9w^2
Can Someone help PLS

Answers

Answer:

Step-by-step explanation:

Use the identity: a² - b² = (a + b)(a- b)

4 - 9w² = 2² - (3w²)

            = (2 + 3w)(2 - 3w)

Which is larger, 9 kilograms or 8,500 grams?

Answers

Answer: 9 kilograms

Step-by-step explanation:

9 kilograms is larger because the kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side. While a gram is a unit of weight equal to 1/1000th of a kilogram. A gram is the approximate weight of a cubic centimeter of water.

Find all numbers whose absolute value is -7. If there is more than one, separate them with commas.

Answers

Absolute Value Is ALWAYS Positive. Therefore, the answer should be none.
None

Cause the absolute value doesn’t equal to negative number
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