What is the volume of this figure?

What Is The Volume Of This Figure?

Answers

Answer 1

Answer:

276in³

Step-by-step explanation:

First, we can separate this into two separate rectangular prisms. We can add their volumes to get the total volume. I have separated the prisms by the light green lines, as shown in the picture.

For the top one, we have a length of 5 in , width of 3 in, and height of x in. We know that the total height is 10 in, and the bottom height is 6. The top difference is the difference of those two heights, or 10-6= 4 = x. Therefore, the volume of the top prism is 5 in* 3 in* 4 in = 60 in³

For the bottom prism, we have a length of 12 in, height of 6 in, and width of 3 in (this is the same, as the 3in from the top prism matches with the width of the of the bottom prism), making our volume 12 in * 6 in * 3 in = 216 in ³.

We can then add 216 in ³ and 60 in³ to get 276in³ as our total volume

What Is The Volume Of This Figure?

Related Questions

Factorize by grouping:
4pº + 8p2 + 3p + 6​

Answers

Answer:  (4p^2+3)(p+2)

Work Shown:

I'm assuming you meant to write 4p^3+8p^2+3p+6

If so, then we would have these steps

4p^3+8p^2+3p+6

(4p^3+8p^2)+(3p+6)

4p^2(p+2)+3(p+2)

(4p^2+3)(p+2)

The formula for the volume of a cylinder is V = srh.
Solve v = rn for h, the height of the cylinder.

Answers

Answer:

A

Step-by-step explanation:

Have a great summer :)

What number line model represents the expression 5 1/2 + (-3)

Answers

Answer:

(A)

Step-by-step explanation:

The bottom arrow goes to 5 1/2, and then because adding -3 is the same as subtracting 3, the top arrow correctly goes back 3, resulting in an answer of 2 1/2.

Hope it helps (●'◡'●)

3x-4y=-24
Identify the x- and y-intercept of the graph of each question

Answers

Answer:

x = -8 and y = 6

Step-by-step explanation:

3x - 4y = -24

Solve for y - intercept

3x - 4y = -24

To find y intercept , substitute x = 0

3 × 0 - 4y = -24

Any expression multiplied by 0 equals 0.

0 - 4y = -24

-4y = -24

Divide both sides by -4

-4y / -4 = -24/-4

y = 6

Similarly, Solve for x-intercept

3x - 4y = -24

To find x- intercept , susbtitute y = 0

3x - 4 × 0 = -24

Any expression multiplied by 0 equals 0.

3x - 0 = -24

3x = -24

Divide both sides by 3

3x / 3 = -24 / 3

x = -8

Therefore, y = 6 and x = -8

Ryan was traveling by car at an average speed of 40.3 miles per hour.
He will cover 322.4 miles in hours.

Answers

Answer:

your answer is 8

Step-by-step explanation:

If you divide  322.4 by the speed 40.3 you would get 8 the amount of hours traveling the given distance.

If you dont think the answer is correct you can simply mutiply 40.3 by 8 to ensure that 322.4 miles is in fact how far you will go in that time

hope this help. Have a good day!

\

Bye

How many miles are equivalent to 800 meters? Round answer to the nearest hundredth.

0.50 miles

1.29 miles

2.62 miles

4.97 miles

Answers

Answer:

0.5miles

Step-by-step explanation:

800meters is 0.497097miles

Round 0.497097miles to the nearest hundredth which would be 0.5 miles.

For each journey between work and home, Arjun uses 1.3 gallons of petrol. Arjun has 52 litres of petrol in his car. How many complete journeys between work and home can he do?
1 gallon = 4.5 litres.

Answers

Answer: 9 full journeys

Step-by-step explanation:

4.5 litres * 1.3 gallons = 5.8 litres of petrol

52 litres ÷ 5.8 litres of petrol = 8.9 journeys ≈ 9 full journeys

The mass of the moon is 7.343 × 10^19 tonnes. The Earth has a mass of 81 times bigger than that of the moon. Work out the mass of the Earth.

Answers

Answer:

= 7. 343 × 10^19 ×81

= 1.377 × 10^21

Circumference of a circle with a diameter of 15 inches.

Answers

Answer:

Cir = d[tex]\pi[/tex]

C = 15[tex]\pi[/tex]

Step-by-step explanation:

Answer:

Exact Answer: 15π inches

Decimal Answer: 47.1 inches

Step-by-step explanation:

The unit is inches because circumference is one dimension.

1.) Circumference Formula: 2πr or dπ⇒d=diamater ⇒r=radius

2.) dπ=15π

3.) 15 × 3.14⇒approximate answer


What is the answer??

Answers

Probably the last option. Because it has the points shown on the coordinate graph.

HELP ASAP 10 POINTS AND BRAINLIST

Answers

Step-by-step explanation:

hope it helps you...........

Ben franklin is an electrician that lighting

Answers

XxFazexX Ben Franklin is Goated.

PLS HELP ASAP HOW DOES THIS= THIS

f(x)=2x^3-9x^2+11x-20....

look at photo.
true or false

Answers

Answer:

false

Step-by-step explanation:

a^2-2(a+b)-b^2 plz can anyone solve this factorization​

Answers

Step-by-step explanation:

Hope it helps If u have any confusion regarding this kindly inform me , i will try my best to answer

[tex]\tt\displaystyle\ \star a^2-b^2=(a-b)(a+b)\star\\\\ a^2-2(a+b)-b^2=a^2-b^2-2(a+b)=\\\\\underline{(a+b)}(a-b)-2\underline{(a+b)}=\boxed{(a+b)(a-b-2)}[/tex]

Which applies the power of a power rule properly to simplify the expression (710)5?

Answers

Answer:

I45

Step-by-step explanation:

pls help, i have class rn :(

in how many ways can alice distribute 12 apples to 3 children (a child can have no apples)

Answers

if the children could have the apples it would be 4 per each child but since u said no child can have apples don’t distribute them so 0?

Please help I don't understand this at all

Answers

Answer:

The answer is 48in

Step-by-step explanation:

I am pretty sure you add all the numbers together

Write the following compound statement in symbolic form.

If I do not study hard, then I will not pass geometry and graduate high school.

Answers

Answer:

A conjunction is a compound statement formed by combining two statements using the word and . In symbolic logic, the conjunction of p and q is written p∧q . A conjunction is true only if both the statements in it are true.

Step-by-step explanation:

Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?

Answers

Answer:

a-b  divided into [tex]a^{3} + 0a^{2} b + 0 ab^{2} - b^{3}[/tex]

the reason is that the (a-b) vs (a+b) in the "SOAP"

same, opposite, always a plus the "-" in the "a-b" has to match the

sign between the two cubes

Step-by-step explanation:

(1 + sin x)(1 – sin x) = cos^2x

Answers

Answer:

(1 + sin x)(1 – sin x) = cos^2x

1 - sin^2x = cos^2x

cos^2x = cos^2x

Step-by-step explanation:

Simplify the left hand side:

(1 + sin x)(1 – sin x) = cos^2x

1 - sin^2x = cos^2x

Using the Pythagorean Identity, we can see that the two sides are equivalent if you subtract sin^2x from both sides:

sin^2x + cos^2x = 1

cos^2x = 1 - sin^2x

Lastly, write it out:

(1 + sin x)(1 – sin x) = cos^2x

1 - sin^2x = cos^2x

cos^2x = cos^2x

Factor the expression (-x^2 + 5x + 24.), and use the factors to find the x-intercepts of the quadratic relationship it represents.

Type the correct answer in each box, starting with the intercept with the lower value.

The x-intercepts occur where x =
and x =
.

Answers

Answer:

[tex]{ \bf{let \: \: { \tt{ - {x}^{2} + 5x + 24} \: \: be \: \: { \bf{{y}}}}}} \\ { \tt{y = - {x}^{2} + 5x + 24 }} \\ { \tt{y = (x + 3)(x - 8)}} \\ for \: x - intercept : y = 0 \\ { \tt{(x + 3)(x - 8) = 0}} \\ { \bf{x = - 3 \: and \: 8}}[/tex]

The factors to the given expression are -1(x+3)(x-8)

The x-intercepts are -3, 8

What do we mean by factorization?

Factorization is the process in which we write an expression in its factors which when multiplied results in the original expression.

How do we factorize the given expression?

We equate the given expression to f(x)

     (-x² + 5x + 24) = f(x)

⇒ -1(x² - 5x - 24) = f(x)

⇒ -1(x² - (8-3)x - 24) = f(x)

⇒ -1(x² + 3x - 8x -24) = f(x)

⇒ -1(x(x+3) -8(x+3)) = f(x)

⇒ -1(x+3)(x-8) = f(x)

∴The factor to the given expression is -1(x+3)(x-8)

How do we find the x-intercepts?

To find the x-intercepts we equate f(x) = 0

⇒ -1(x+3)(x-8) = 0

⇒ (x+3)(x-8) = 0

x-intercepts are the roots of the above equation.

∴ The x-intercepts occur where x = -3 and x = 8

Learn more about the Factorization and x-intercepts at

https://brainly.com/question/11579257

https://brainly.com/question/3951754

#SPJ2

In how many ways the word CHAMPION can be arranged without repetition of there are no conditions?​

Answers

149 (give brainliest for all of the words)

Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer:

Solution given:

Relationship between perpendicular and hypotenuse is given by sin angle

Sin 30°=opposite/hypotenuse

½=[tex]\frac{x}{9}[/tex]

x=[tex]\frac{9}{2}[/tex]

The value of x is [tex]\frac{9}{2}[/tex]

Help and explain please and thank you !!!!!!!

Answers

Answer:

[tex]q = 3[/tex]

Step-by-step explanation:

[tex]3q−2=7[/tex]

[tex]3q=7+2[/tex]

[tex]3q=9[/tex]

[tex]q = \frac{9}{3} [/tex]

[tex]q = 3[/tex]

Hope it is helpful....
Option C is correct. The other person is wrong. They forgot the two lines flip the equation. This is an equation that can be solved. Look at the picture below to understand the simplified steps. Give brainiest plz. I have never had it before. Thx.

Find the slope of the line that passes through (9, 6) and (5, 5).

Answers

Answer:

slope = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Calculate the slope using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 6) and (x₃, y₃ ) = (5, 5)

m = [tex]\frac{5-6}{5-9}[/tex] = [tex]\frac{-1}{-4}[/tex] = [tex]\frac{1}{4}[/tex]

Which is a simplified form of the expression -4(n + 1) – (n + 2)?
A. 2n + 3
B. -3n - 2
C. -4n - 5
D. -5n - 6

Answers

Answer:

the answer is D

Answer:

D. - 5n - 6

Step-by-step explanation:

- 4 ( n + 1 ) - ( n + 2 )

= - 4n - 4 - n - 2

= - 4n - n - 4 - 2

= - 5n - 6

two significant figures, 18.96 x 2.03 is

Answers

is there a picture that comes w this problem?

factories ((x+2)+3x+6. 2a(a-1)-a+1​

Answers

Answer:1. = 4x+8  

2. 2a²-a+1

Step-by-step explanation:

1. ((x+2)+3x+6.  2. 2a(a-1)-a+1​

((x+2)+3x+6

= x+2+3x+6

= 4x+8

2a(a-1)-a+1

2a²-2a-a+1

2a²-a+1

Write the equation of the line passing through the points (−2,3) and (−1,−2) in Slope-Intercept and Point-Slope Form.

Answers

Point slope form is y-3 = -5( x + 2 )

Slope intercept form is y= -5x - 7

If the vertex of a parabola is (-4, 6) and another point on the curve is (-3, 14), what is the coefficient of the squared expression in the parabola's equation?

Answers

Answer:

[tex]y=a(x-h)^{2} +k[/tex]

[tex](x,y)=(-3,14)[/tex]

[tex](h,k)=(-4,6)[/tex]

[tex]14=a(-3-(-4))^{2})+6[/tex]

[tex]14=a(-3+4)^{2} +6[/tex]

[tex]14=a(1)^{2} +6,-6[/tex]

[tex]8=a[/tex]

[tex]ANSWER:8[/tex]

--------------------------

HOPE IT HELPS

HAVE A GREAT DAY!!

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