What is the volume of the figure below if a = 8 units and b = 6 units?

A.

536 cubic units

B.

704 cubic units

C.

256 cubic units

What Is The Volume Of The Figure Below If A = 8 Units And B = 6 Units? A. 536 Cubic Units B. 704 Cubic

Answers

Answer 1

Answer:

704 cubic units

Step-by-step explanation:

First let's calculate the volume of the cube. The formula to calculate the volume of a cube is V = a^3, a being the edge length of the cube. So we need to cube the value of a, which is 8. 8 cubed is 512 cubic units.

Now we need to calculate the volume of the triangular prism. The formula to calculate the volume of a cube is V = 1/2b * a * h, a being the side edge length of the prism, b being the height of the triangular side, and h being the base edge length of the triangular side, if that makes any sense (easier to explain visually). h and a are equal to the given a, which is 8 in this case. And b in the formula is equal to b in the given problem. So we substitute the values into the formula: V = (1/2*6) * 8 * 8 = 3 * 64 = 192 cubic units.


Now we take the sum of both of the figures:

512 + 192 = 704 cubic units.


Related Questions

A cylinder has a height that is 2 times as large as its radius. The lateral area of the cylinder is
16π square units. What is the length of the radius of the cylinder?

Answers

Answer:

2 units!

Step-by-step explanation:

Answer: 2 units

When comparing two box-plots that show the same type of information, what determines agreement within the data?

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the mean of each data set

Find the surface area of the triangular prism shown below.

Answers

Answer:

136

Step-by-step explanation:

5*7 = 35

5*7 = 35

4*6/2 = 12

4*6/2 = 12

7*6 = 42

Add them all up

HELP TAKE YOUR TIME°!!!


FOR MY SISTER

Answers

Answer:

1.15

2.1

3.3

45

5.3

6.8

7.4

8.5

9. 24

Step-by-step explanation:

Carry on learning

Answer:

1. 15

2. 1

3. 3

4.  2.5

5. 3

6. 8

7. 4

8. 5

9. 24

10. 6

11. 3

12. 52

13. 44

14. 38

15. 24

16. 12

17. 2

18. 12

Step-by-step explanation:

Select the correct answer.
Which statement describes the solutions of this equation?
x/x+2+1/x=1

Answers

Answer:

~Senpi boi here~

Step-by-step explanation:

Multiply all terms by x and cancel:

x+2x+1=1x

3x+1=x(Simplify both sides of the equation)

3x+1−x=x−x(Subtract x from both sides)

2x+1=0

2x+1−1=0−1(Subtract 1 from both sides)

2x=−1

2x

2

=

−1

2

(Divide both sides by 2)

x=

−1

2

Check answers. (Plug them in to make sure they work.)

x=

−1

2

(Works in original equation)

Answer:

x= −1/2

(Hope this helps!)

What is the median of the data displayed in this box-and-whisker plot?

OPTIONS


84.0

99.5

113.0

143.0

Answers

Answer:

106.25

Step-by-step explanation:

99.5+113= 212.5 /2 = 106.25

Which is a coefficient matrix for the system of linear equations?

Answers

Answer:

In linear algebra, a coefficient matrix is a matrix consisting of the coefficients of the variables in a set of linear equations.

Step-by-step explanation:

the matrix is used in solving systems of linear equations

which of the following shapes are squares? please answer correctly I'll mark brainliest ​

Answers

All are technically squares, but if you are referring to just squares, then C and D are squares.

Name the following triangle

Answers

Answer:

B

Step-by-step explanation:

sorry if im wrong

the first bricklayer can build a wall in 15 days. the second bricklayer can build the same wall in 10 days. how long will it take them to build the wall together?
i really need help.

Answers

around 8 4/7 days is what it takes

Answer:

6 days

Step-by-step explanation:

1/T1 + 1/T2 = 1/TotalTime

Builder one is 1/15

Builder two is 1/10.

find the slope of the line that passes through (8,2) (1,8)

Answers

Answer:

slope = -6/7

all steps in picture :)

Jaxon is decorating the outside of a box in the shape of a triangular pyramid. The
figure below shows a net for the box.

Answers

[tex]\bold{ANSWER:}[/tex]
A = 46.76 cm^2

[tex]\bold{EXPLANATIONS:}[/tex]

Gabriella needs 120 meters of fence to surround a rectangular garden.
The length of the garden is three times its width, w.

How wide is the fence?
Please try to include a Screenshot with the answer

Answers

Answer:

the width is 1.5meters

Step-by-step explanation:

the perimeter of the fence is 120m

the perimeter= 3w+w+3w+w

120= 3w+w+3w+w

120= 8w

w=1.5m

Answer:

15m

Step-by-step explanation:

Well, she needs 120 meters, which means we already know the circumference (P). P is the sum of all sides.

The lenght (a) is 3 times the width(b).

a = 3b.

Which means if a is x then b is equal to 3x

Since P is the sum of all sides, P is equal to 2a + 2b or 2x + 2*3x = 2x + 6x = 8x

120 = 8x. We are now left with an equation that has one variable only, all we need to do is to divide 120 by 8 to find what x is equal to.

8x = 120

x = 120 / 8

x = 15

We know that width(a) is equal to x, so that's the answer.

Here's a solution you can write:

P = 120m

w = x

l = 3w = 3x

P = 2w + 2l

P = 2*x + 2*3x

P = 2x + 6x

P = 8x

8x = 120

x = 120 / 8

x = 15

w = x -> w = 15m

What is the last step in constructing an angle?
O Make a mark at the number of degrees you want the angle to be.
O Place the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractor
O Connect the endpoint and the mark at the angle measure.
O Draw a horizontal ray.

Answers

Answer:

O Connect the endpoint and the mark at the angle measure

Step-by-step explanation:

Check the illustration for more details.

HELP ASAP I REALLY NEED IT MY HEAD HURT BECAUSE OF THIS PLS WOULD GIVE 30pts If Jim spins the spinner 16 times, how many times would you predict the spinner to land on blue based on theoretical probability? Show your work in the box below the image.​

Answers

Answer:

the answerr is 4

Step-by-step explanation:

please mark me the brainiest

solve: 7x+ 19 = -2X + 55

Answers

Answer:

x=4

Step-by-step explanation:

7x+ 19 = -2X + 55

+2x         +2x

9x+19=55

     -19  -19

9x=36

x=4

Answer:

x=4

Step-by-step explanation:

[tex]\hookrightarrow 7x+ 19 = -2x + 55\\\\\hookrightarrow 7x+2x=55-19\\\\\hookrightarrow 9x=36\\\\\hookrightarrow x=36/9\\\\\hookrightarrow x=4[/tex]

The sum of j and 7 is 55. Solve for j.??

Answers

j = 48 bc 48 + 7 = 55

Find the gradients of lines a and b (first to do gets brainlist)

Answers

Answer:

A = 8

B = -4

Step-by-step explanation:

A pond has 150 fish, and the population
decreases by 8% each day. Find the
population after 3 weeks.

Answers

after 21 days, the answer is 26
hope this helps

A rectangular prism has dimensions x units, 2x units, and x 8 units. which expression represents the surface area of the prism? 8x 16 square units 16x 32 square units 10x2 48x square units 2x3 16x2 square units

Answers

The rectangular prism with dimensions x units, 2x units, and x- 8 units has a surface area of 10x^2 - 48x square units

Volume of a rectangular prism

The formula for calculating the suface area of rectangular prism is expressed as:

A =2()

lw + wh + lh

where:

l is the lengthw is the widthh is the height

Given the following parameters

l = x units

w = 2x units

h = x -  8 units

Substitute

S = 2(2x^2 + x^2 - 8x + 2x^2 - 16x)

S = 2(5x^2-24x)

S= 10x^2 - 48x square units

Hence the rectangular prism with dimensions x units, 2x units, and x- 8 units has a surface area of 10x^2 - 48x square units

Learn more on surface area here:https://brainly.com/question/76387

Answer:

C

Step-by-step explanation:

10x^2+48x

Simplify and solve the following expression: (x + 5)= x?

Answers

Step-by-step explanation:

How to solve your problem

(x+5)=x

Solve

1

Subtract

5

from both sides

x+5=x

x+5

2

Simplify

Subtract the numbers

x=x-5

3

Subtract

x

from both sides

x=x-5

Simplify

Combine like terms

Combine like terms

0=-5

Result

0=-5

The input is a contradiction: it has no solutions

Answer:

x=x-5 or 0=-5

Step-by-step explanation:

subtract 5 from both sides

an experiment requires the population of the bacteria to reach 2 million before the experiment can begin. The reproduction rate of the bacteria can be modeled by the exponential equation Y= 8 times 7^x. About how many hours X will it take for the bacteria population to reach 2 million?
round your answer the the nearest hour

Answers

Answer:

about 6 hours

Step-by-step explanation:

[tex]8( {7}^{x} ) = 2( {10}^{6} )[/tex]

[tex] {7}^{x} = 250000[/tex]

[tex]x = \frac{ ln(250000) }{ ln(7) } = 6.39[/tex]

The about 6 hours the bacteria population to reach 2 million.

What is exponential equation?

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.

Given that the experiment requires the population of the bacteria to reach 2 million before the experiment can begin.

The reproduction rate of the bacteria can be modeled by the exponential equation,

y = 8 × 7ˣ.

So, according to the question,

8 × 7ˣ = 2 × 10⁶

7ˣ = 250000

x ≈ 6.4

Hence the about 6 hours the bacteria population to reach 2 million.

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What are the exact values of the six trigonometric functions for negative startfraction 7 pi over 6 endfraction radians?

Answers

The exact values are;sin -7π/6 = 0.5; cos -7π/6 = -√3/2; tan -7π/6 = -1/√3; sec -7π/6 = -2/√3; csc -7π/6 =2; cot -7π/6 = -√3

How to work with unit circle of trigonometric functions?

We want to find the six trigonometric functions for  -7π/6 radians.

It should be noted that;

7π/6 radians = -210° degree = -210 +360 = 150° = 5π/6

From the definition of unit circle and applying to what we have here, we can express them as;

sin -7π/6 = 0.5

cos -7π/6 = -√3/2

tan -7π/6 = -1/√3

sec -7π/6 = -2/√3

csc -7π/6 =2

cot -7π/6 = -√3

Read more about trigonometric functions at; https://brainly.com/question/20691579

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Is AB and CD parallel? Why/why not

Answers

Step-by-step explanation:

AB and CD is not parallel because co-interior sum is 180 and another reason is that parallel sign isn't given.

help brainliest if right

Answers

Answer:

8

Step-by-step explanation:

Answer:

the answer is 8

PLEASE GIVE BRAINLIST

The high school decided to buy
the track team new uniforms. The
total cost is $1235. The school gets
a special 15% discount if they
order this week. How much is the
discount?

Answers

The discount would be $185.25

a rectanguler tank with a base area of 24 cm is filled with water and oil to the depth of 9cm

Answers

Answer:

The Volume is 216

Step-by-step explanation:

When finding volume you do base times height. Since depth is like height, you mulitply them and get 216.

Solve the equation on the
interval [0, 27r).
4(sin x)2 - 2 = 0

Answers

[tex]4[sin(x)]^2 - 2 = 0\implies 4[sin(x)]^2=2\implies [sin(x)]^2=\cfrac{2}{4}\implies [sin(x)]^2=\cfrac{1}{2} \\\\\\ sin(x)=\pm\sqrt{\cfrac{1}{2}}\implies sin^{-1}[sin(x)]=sin^{-1}\left( \pm\sqrt{\cfrac{1}{2}} \right)\implies x=sin^{-1}\left( \pm\sqrt{\cfrac{1}{2}} \right)[/tex]

[tex]x=sin^{-1}\left( \pm\cfrac{\sqrt{1}}{\sqrt{2}} \right)\implies x=sin^{-1}\left( \pm\cfrac{1}{\sqrt{2}} \right)\implies x=sin^{-1}\left( \pm\cfrac{\sqrt{2}}{2} \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x=\cfrac{\pi }{4}~~,~~\cfrac{3\pi }{4}~~,~~\cfrac{5\pi }{4}~~,~~\cfrac{7\pi }{4}~\hfill[/tex]

Check the picture below.

Can someone help me

Answers

Answer:

it's d

Step-by-step explanation:

because you first do 3*4 =12 twice because there are two sides, and do 10*3 twice, and 10*4 twice, and add it all up.

so,

24+60+80=164

answer is d.

Answer:

Option D, [tex]164\ units^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the front and back

[tex]A = l * w[/tex]

[tex]A = 10\ units * 4\ units[/tex]

[tex]A = 40\ units^2[/tex]

Step 2:  Determine the area of the sides

[tex]A = l * w[/tex]

[tex]A = 3\ units * 4\ units[/tex]

[tex]A = 12\ units^2[/tex]

Step 3:  Determine the area of the top and bottom

[tex]A = l * w[/tex]

[tex]A = 10\ units * 3\ units[/tex]

[tex]A = 30\ units^2[/tex]

Step 4:  Determine the total surface area

[tex]SA = 2(40\ units^2) + 2( 12\ units^2) + 2(30\ units^2)[/tex]

[tex]SA = 80\ units^2 + 24\ units^2 + 60\ units^2[/tex]

[tex]SA = 164\ units^2[/tex]

Answer:  Option D, [tex]164\ units^2[/tex]

olve the following: (2 points)

one and two fourths plus three and three fourths

a
two and one fourth
b
four and one fourth
c
five and one fourth
d
six and one fourth

Answers

It is C five and one fourth
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