What is the volume of this rectangular prism?

Answer:

Part A

The surface area of the solid is 408 cm²

Part B

The volume of the solid is 312 cm³

Step-by-step explanation:

Part A

The surface area of the figure is found by finding the sum of the surface area of the individual rectangles that make up the figure as follows;

The areas of the rectangles are;

A₁ = 6 cm × 2 cm = 12 cm²

A₂ = 6 cm × 4 cm = 24 cm²

A₃ = 6 cm × 6 cm = 36 cm²

A₄ = 12 cm × 6 cm = 72 cm²

A₅ = 2 × 6 cm × 2 cm = 24 cm²

A₆ = 2 × 8 cm × 2 cm = 32 cm²

A₇ = 8 cm × 2 cm = 16 cm²

A₈ = 10 cm × 6 cm = 60 cm²

A₉ = 2 × 12 cm × 2 cm = 48 cm²

A₁₀ = 6 cm × 2 cm = 12 cm²

A₁₁ = 12 cm × 6 cm = 72 cm²

The area, A = A₁ + A₂ + A₃ + A₄ + A₅ + A₆ + A₇ + A₈ + A₉ + A₁₀ + A₁₁

Therefore, A = (12 + 24 + 36 + 72 + 24 + 32 + 16 + 60 + 48 + 12 + 72) cm² = 408 cm²

The surface area of the solid, A = 408 cm²

Part B

The volume is found similarly as follows;

V₁ = 6 cm × 6 cm × 2 cm = 72 cm³

V₂ = 8 cm × 6 cm × 2 cm = 96 cm³

V₃ = 12 cm × 6 cm × 2 cm = 144 cm³

The volume of the solid figure, V = V₁ + V₂ + V₃

∴ V = (72 + 96 + 144) cm³ = 312 cm³

The volume of the solid figure, V = 312 cm³.

Answer:

12 x 24 = 288

32 - 24 = 8

8 x 12 = 96

96 divided by 2 = 48

288 + 48 = 336 ft2 is your answer.

Answer:

= 6/7x+2

Step-by-step explanation:

just remove the parenthesis and combine like terms.

i hope this helps :)

Answer:

Step-by-step explanation:

Combine like terms.

2/7x and 4/7x are like terms  

5 and -3 are like terms

[tex](\frac{2}{7}x + 5) + (\frac{4}{7}x - 3) = \frac{2}{7}x+ \frac{4}{7}x + 5 - 3\\\\\\ = \frac{2+4}{7}x+ 2 \\\\= \frac{6}{7}x+2[/tex]

Answer:

If you were to make a 360 degree circle and minus the 50 thats already there you get 310 the right angle on angle 5 is 90 degrees because its a right angle so then the 310-90=220 the obtuse angle on angle 2 is 180 so 220-180=40 lastly you share those forty between angles 3 and 4 and the solution is your answer.

Glab to help!

Answer:

See Below.

Step-by-step explanation:

We are given that ABC is a triangle in which AB = AC.

A circle passing through B and C also intersects the sides AB and AC at points D and E respectively.

And we want to prove that AD = AE.

By the secant-secant theorem (shown below), we know that:

[tex]AD(AB)=AE(AC)[/tex]

We are given that AB = AC. So, by substitution:

[tex]AD(AB)=AE(AB)[/tex]

And by dividing both sides by AB (AB ≠ 0), we acquire:

[tex]AD=AE[/tex]

Q.E.D.

Answer:

1157.91 or rounded 1157.9 or 1158

Step-by-step explanation:

π • r^2 • (h/3)

π • 10^2 • 11/3

Answer:

15

Step-by-step explanation:

Ordered Pairs

9 inches after 0 hours

8.15 inches after an hour

7.40 inches after 2 hours

6.65 inches after 3 hours

5.90 inches after 4 hours

4.15 inches after 5 hours

3.40 inches after 6 hours

Function

I don't believe it is a function but I could be wrong

Answer:

18cm duh

Step-by-step explanation:

Answer:

It happened in 168 minutes

Step-by-step explanation:

24: 48, 72, 96, 120, 144, 168

14: 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168

The common LCM is 168.  It happened in seven 24's and in twelve 14's

Complete Question

We have a total of 420 students. 2 times 3 times the number of girls is equal to 2 times the number of boys how many girls and how many boys

Answer:

The number of boys = x = 315 boys

The number of girls = y = 105 girls

Step-by-step explanation:

Let

The number of boys = x

The number of girls = y

We have 420 students

2 times 3 times the number of girls is equal to 2 times the number of boys

x + y = 420..... Equation 1

2 × 3y = 2x

6y => 2x

x => 6y/2 = 3y

We substitute 3y for x in Equation 1

3y + y = 420

4y = 420

y =>420/4

y => 105

Solving for x

x = 3y

x = 3 × 105

x = 315

Therefore,

The number of boys = x = 315 boys

The number of girls = y = 105 girls

Answer:

(x + 4)(x - 4)

Step-by-step explanation:

Answer:

( − 4 ) ( + 4 )

Step-by-step explanation:

x^2 - 16

x^2 + 4x - 4x = 16

x^2 + 4x - 4x - 16

( + 4 ) − 4 ( + 4 )

( − 4 ) ( + 4 )

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Have a great day, be safe and healthy  

Thank u  

XD

Answer:

32.4mm²

Step-by-step explanation:

area of triangle =

1/2 × base × height "or" ( base × height ) ÷ 2

base= 12mm

height= 5.4mm

(12mm × 5.4mm) ÷ 2

= 32.4mm²

Answer:

x=4

Step-by-step explanation:

we know the ratio of left to right is 2:1 because 6:3=2:1

the horizontal lines are parallel, so the other set of numbers follows the same proportions

[tex]x^{2} +2x+11=2(x+13.5)\\x^{2} +2x+11=2x+27\\x^{2} +2x-2x=27-11\\x^{2} =16\\x=\sqrt{16} \\x=4[/tex]

Answer:

500

Step-by-step explanation:

Answer:

4t-20

Step-by-step explanation:

Answer:

4t-20

or

unknown

Step-by-step explanation:

if there is a value for t then i,d,k the answer if there isnt then 4t-20 is the answer

Answer:

Step-by-step explanation:

total cost = c

students = s

cost = 7

c = s*7

independent is  s

dependent is c

Answer:

(x,y) (28/19, -35/19)

hope this helps

Answer:

x = 6, y = 4

Step-by-step explanation:

multiply the equation x + 2y = 14 by two then subtract the equation 2x - 6y = - 12 to eliminate x and solve for y:

×2 => 2x + 4y = 28

     -)   2x - 6y = -12

_________________

                10y = 40

=>                 y = 4

substitute y = 4 to either of the equation 2x - 6y = - 12 OR x + 2y = 14   to solve for x:

=> 2x - 6(4) = -12

=> 2x = 12

=> x = 6

Answer:

42 cubic units

Step-by-step explanation:

2x3x7

Answer:

The answer to this question is 6.

Step-by-step explanation:

To find the value of x we must find what minus 2 gets us 16. To find this we pretty much just see what 2 to the power gives us 16, therefore we find that 2^4 is 16. We now must solve for x. We take all of our possible solutions and find what minus 2 gets us 4. We then can see that 6-2 is 4 and that 2^4 is 16. Therefore, we can conclude that x is equal to 6.

If the linear equation with a single variable is 2x - 2 = 16. Then the value of the variable x is 9.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The linear equation with a single variable is given below.

16 = 2x - 2

Then the value of x will be given as

18 = 2x

 x = 9

Then the value of the variable x is 9.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Answer:

part A (2)

Step-by-step explanation:

because when x-coordinate equals zero we will have a one value for y

Answer:

x-intercept = 3

y-intercept = -2

Step-by-step explanation:

P.S - The exact question is -

Given - A function g models a relationship in which the dependent variable doubles for every 3 units the independent variable increases.

To find - Graph g when g(0) = -2. Identify the y-intercept and x-intercept.

Proof -

By using the given information , we get

g(x) = [tex]\frac{2}{3} x - 2[/tex]

g(0) = 0 - 2 = -2

It also satisfy the condition g(0) = -2

Here,

by comparing with general form of slope-intercept form y = mx + c

where m = slope, c = y-intercept

Slope, m = [tex]\frac{2}{3}[/tex]

For x-intercept,

Put y = 0

⇒[tex]\frac{2}{3} x - 2[/tex] = 0

⇒[tex]\frac{2}{3}x = 2[/tex]

⇒x = 3

So,

x-intercept = 3

For y-intercept,

Put x = 0

⇒y = 0 - 2

⇒y = 2

∴

y-intercept = -2

Answer:

vertical

Step-by-step explanation:

its going straight up

Answer:

both pull money directly from a checking or savings account.

Answer:

c

Step-by-step explanation:

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bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

right and isosceles but not equilateral

Answer:

h=8

Step-by-step explanation:

Fast fast!jjdbdbdjdjdbxjdj

Answer:

sorry bro im d.u.m.b

Step-by-step explanation:

:_ )

Your Answer is:

4/10

Step-by-step explanation:

because 4 out of 10=40%...