What is the volume of the figure above if a = 4 units and b = 7 units?

What Is The Volume Of The Figure Above If A = 4 Units And B = 7 Units?

Answers

Answer 1

Answer: [tex]176units^3[/tex]

Step-by-step explanation:

We have a composite figure. Find the volume of each figure individually and then add them.

Cube.

[tex]V=a^3\\V=(4units)^3\\V=64units^3[/tex]

Rectangular prism.

[tex]V=w*h*l\\V=(4units)(4units)(7units)\\V=112units^3[/tex]

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

[tex]112units^3+64units^3=176units^3[/tex]

Answer 2

The volume of the figure is 176 cubic units.

What is the volume of the cube?

The volume of a cube is given by;

[tex]\rm Volume \ of \ cube =a^3\\\\[/tex]

The volume of the figure above if a = 4 units and b = 7 units.

The volume of a cube is;

[tex]\rm Volume \ of \ cube =a^3\\\\ \rm Volume \ of \ cube =4^3\\\\ \rm Volume \ of \ cube =64[/tex]

The volume of a rectangular prism is;

[tex]\rm Volume \ of \ prism =Length \times width \times height \\\\Volume \ of \ prism =4\times 4\times 7\\\\Volume \ of \ prism= 112[/tex]

The volume of the figure = Volume of cube + Volume of a rectangular prism

The volume of the figure = 64 + 112

The volume of the figure = 176

Hence, the volume of the figure is 176 cubic units.

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Related Questions

How many different outcome pairs are possible for rolling a 12 sided dice in a 20 sided dice at the same time?

Answers

Answer:

SK

Step-by-step

dsalkd

the total amount of fiber (in grams) in a package containing x apples and y oranges is given by the equation 5x + 10y = 110. is it possible for the package to contain 15 apples? EXPLAIN

Answers

Answer:

Step-by-step explanation:

The y intercept is the value of y when x = 0. Similarly, the x intercept is the value of x when y = 0. To find each of these, we separate the equation as shown in the attached image. After solving for x and y, we find that the y intercept is 11 and the x intercept is 22. For part e, we substitute 15 in for x. So instead of putting x in the equation, we will put 15 and solve for y. After solving, we see that y will equal 3.5. However, since we cannot have a "half apple" in the package, we see that it is not possible to have 15 apples in the package.

Find the area please explain

Answers

Answer:

It's 243 sq in.

Step-by-step explanation:

You have to multiply the 18 since it the the actual height and 13.5 because it is the width while the 19 is just some random number that has nothing to do with anything.

Answer:

i think its 299 in

Step-by-step explanation:

base 1+base 2 divided by 2 times height

What mistake did Antonio make?

Answers

Answer: The theorem he used is the SAS (side-angle-side) theorem. The diagram actually depicts 2 sides and 1 angle, but the angle is not sandwiched by the sides, meaning it would be a SSA, not SAS.

Step-by-step explanation:

For Antonio to be correct, the angle would have to be between the two given side lengths, so it would have to be angle A or angle T.

can y’all help me with this one

Answers

No it is not a function

Answer:

negative possiblity

Step-by-step explanation:

Terrence graphs the two equations below on the same coordinate plane.
y = 2x + 4
y = -x + 1
At what point do the graphs of the equations intersect?

Answers

Answer:

(-1, 2) is the point of intersection!

Step-by-step explanation:

Checked on a calulator

Answer:

(-1, 2) is the answer to this question

Step-by-step explanation:

Hope this helps!

Have a great day! :)

Find the surface area of the triangular pyramid

Answers

answer:i gave u the answer

Step-by-step explanation:

do 12 x 5.2 x 6 x .5 on a calculator

the cylinder and the sphere below have the same radius and the same volume. What is the height of the cylinder?

Answers

Answer:8

Step-by-step explanation:

Answer:

Step-by-step explanation:

8m

HELLPP
The graph of the function f (x) and the transformer graph f(x)+k are shown below

Answers

Answer:

The point of the curve on the bottom line.

Step-by-step explanation:

I think it is the point/middle of the curve on the bottom line that is the answer. I cannot give specific numbers or anything because of how unfocused the camera is. I hope this helped in any way.

A recipe calls for 1/6 teaspoon of vanilla extract. If the recipe is doubled, then how much vanilla extract is needed?

Answers

Answer:

1/3

Step-by-step explanation:

1/6 Doubled is 2/6

Simplified

1/3

The scatterplot that represents the monthly values of stock ABC can be


approximated by a line with a positive slope. What type of correlation does


this represent?


O


A. Negative correlation


O


B. No correlation


O


c. Positive correlation

Answers

Answer: A. Negative correlation

Step-by-step explanation:

A P E X

The scatterplot that represents the monthly values of stock ABC can be approximated by a line with a positive slope represents positive correlation. The correct option is C.

What is correlation?

The relationship between variables is described by correlation. It can be either strong or weak, as well as positive or negative.

Correlations show that there is a relationship between two variables, but one does not always cause the other to change.

A positive correlation indicates that as one variable increases, so does the other.

In this case, the scatterplot of the monthly values of stock ABC can be approximated by a line with a positive slope, indicating that as the stock's value increases over time, so does the corresponding month. As a result, it is a positive correlation.

Thus, the correct option is C.

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Which number best represents the location of point A on the number line shown?

A) -7.5

B) 7 3/10

C) 7 3/8

D) 7 3/7

Answers

Answer:

7 3/10

pls mark!!!!!!!!!!!!!!

When 50 pounds of a compound are produced, the manufacturing cost is described by x
and the selling price is described by x^2 + 8x - 20.
What is ratio of the cost to the selling price when x = 50?

Answers

Answer:

45

Step-by-step explanation:

y

The answer is 45 hope this helps buddy

Math question down below

Answers

Answer:

48 ft.

Step-by-step explanation:

72 divided by 18 = 4

4 times 12 is 48 ft.

Answer:

48ft

Step-by-step explanation:

72/18 = 4

12 x 4 = 48

the building is 48ft tall

solve this and help me plsss​

Answers

Answer:

x = 2

Step-by-step explanation:

(x² logₓ27) log₉x = x + 4

Use change of base formula.

x² (log 27 / log x) (log x / log 9) = x + 4

Simplify.

x² (log 27 / log 9) = x + 4

x² (log 3³ / log 3²) = x + 4

x² (3 log 3 / (2 log 3)) = x + 4

x² (3 / 2) = x + 4

3x² = 2x + 8

3x² − 2x − 8 = 0

(x − 2) (3x + 4) = 0

x = 2 or -4/3

Since x > 0, x = 2.

Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C?
On a coordinate plane, triangle A has points (1, negative 2), (3, negative 2), (3, negative 5). Triangle B has points (4, 0), (6, 0), (6, negative 3). Triangle C has points (4, 0), (6, 0), (6, 3). HURRY CHOOSE ONE

A Is congruent to B and B Is congruent to C

A Is congruent to A, B Is congruent to B, C Is congruent to C

Each triangle is a right triangle.

Each triangle is an isosceles triangle.

Answers

Answer:

A Is congruent to B and B Is congruent to C

Step-by-step explanation:

Given Figures A, B and C on a coordinate plane with the coordinates below:

Triangle A has points (1, -2), (3, -2), (3, -5).

Triangle B has points (4, 0), (6, 0), (6, -3).

Triangle C has points (4, 0), (6, 0), (6, 3).

The fact that each triangle is a right triangle only shows that the triangles are similar.

For any two shapes to be congruent, they must have in addition to the same shape, the same size.

Therefore, for Triangle A to be congruent to Triangle C, Triangle A must be congruent to Triangle B and Triangle B must be congruent to Triangle C.

Answer:

A = B and B= C

Step-by-step explanation:

Can I please have Brainliest

How many 3-letter combinations can be made from this set if no letter can be repeated?
{a, b, c, d, e, f}
A.100
B.120
C.240
D.30

Answers

Answer:

B 120 different combinations

Step-by-step explanation:

There are 6 letters to choose from

Picking a letter for the first spot  6

Then there are 5 letters left

Picking a letter for the second spot  5

Then there are 4 letters left

Picking a letter for the second spot  4

6*5*4

= 120

A business takes out a simple interest loan of $10,000 at a rate of 7.5%. What is the total amount the business will repay if the loan is for 8 years?


Answers

Answer:

93.75 per year

Step-by-step explanation:

hope this helps

Solve the equation in the image

Answers

Answer:

x=27

Step-by-step explanation:

√10x=3√x+3  square both sides

10x=9(x+3)      multiply parenthesis by 9

10x=9x+27       move the variable to the left

10x-9x=27        collect like terms

x=27

Answer:

X= 8

Step-by-step explanation:

A right angle is equal to how many angles

Answers

Answer:

90 degrees

A right angle is equal to 90 degrees. A line segment (AB) drawn so that it forms right angles with a line (CD).

Step-by-step explanation:

Answer:

3 angles

Step-by-step explanation:

there are 3 angles, one a right angle (90 degrees), and the other two are acute angles (45 degrees)

A blueberry bush was 13 inches tall. One year later, the bush was 25 inches tall.
Which number sentence shows how many inches the bush grew in one year?

Answers

Answer:

12 inches

Step-by-step explanation:

25-13=12

(How much it grew in the last year.)

Answer:
12 inches

Expression:
25-13

Estimate a 15% tip on a dinner bill of $81.66 by first rounding the bill amount to the nearest ten dollars.​

Answers

Answer:

12 dollars

Step-by-step explanation:

Round the bill to the nearest ten dollars

81.66 rounds to 80 dollars

80 * 15%

80 *.15

12

The tip is 12 dollars

Answer:

81.66/100*115 = 93.909 rounding down to $90

Step-by-step explanation:

please helppp!!! thank you

Answers

Answer:

4/x^6

Step-by-step explanation:

8x^3/2x^9

4x^-6

since we can only use positive exponents,

4/x^6(because x^-6=1/x^6)

Answer:

4

x(power of 6)

Step-by-step explanation:2 can be divided into 8 and 2 reducing to 4 and 1. As for x, subtract the smallest power (3) from top of fraction and bottom of fraction. X(power of 3-3) and X(power of 9-3).

What is the range of f(x)=(3/4)x-4

Answers

Answer:

Range of the function f(x) is all real numbers greater that -4, i.e., (-4,∞).

Step-by-step explanation:

The given function is f(x) = (3/4)x - 4

The value of (3/4)^x is greater than zero for any value of x. (3/4)^x > 0

Subtract 4 from both the sides. (3/4)^x - 4 > 0 - 4

f(x) > -4

The value of f(x) is greater than -4 for any value of x.

Therefore, the range of the function f(x) is all real numbers greater that -4. (-4,∞).

Answer:the answer is A

Step-by-step explanation: read the other guys thing carefully

If r+s/r =3 and t+r/t =5, what is the value of s/t ? (A) 12 (B) 35 (C) 4 (D) 8 (E) 16

Answers

Answer:

The answer of this question is (D) 8

what is the domaine of this function

Answers

Answer:

Step-by-step explanation:

The domain of a function is the complete set of possible values of the independent variable.

Line segments AB and BC are tangents to Circle P. What is the value of x?
a.117
b.73
c.107
d.146

Answers

Answer:

c. 107°

Step-by-step explanation:

In the figure attached, Circle P, segments AB and BC, and angle x are shown.

From circumscribed angle theorem, we know that angle ABC and angle x are supplementary, then:

x + 73° = 180°

x = 180° - 73°

x = 107°

helppp pleasee?.......um yea...

Answers

Answer: Snail ≈ 96,551.7 hours, North American X-15 ≈ 0.6 hours

Step-by-step explanation:

All you have to do is divide how many miles they go an hour by the total number of miles, which is 2,800.

Part 1: Garden Snail

= [tex]\frac{2,800}{0.029}[/tex]

≈ 96,551.7

Part 2: North American X-15

= [tex]\frac{2,800}{4,520}[/tex]

≈ 0.6

These are the answer!

Hope this helps! :)

The answer is .6 ! Have a great day !!

Find the volume of the composite figure below:
5 in
8 in
6 in
10 in

Answers

Answer:

716in³

Step-by-step explanation:

The first step is to split the full prism into two, separate prisms. That means, we now have to find the volume of the half-a-cylinder, and the other base prism.

For the volume of the half-cylinder, we use the formula πr²h. That means, we do π·5·5·6, which is equal to around 471.24 cubic inches. However, we need to find the volume of half that cylinder, so we divide that answer by two. That should be about 235.62 cubic inches.

For the volume of the other prism, we simply have to do length times height times width, or 6·8·10. That is equal to 480 cubic inches, which is the volume of that prism.

To find the volume of the whole composite figure, you simple have to add the two underlined volumes above.

235.62+480= 715.62in³, or about 716in³.

Hope this helps.

Find the equation of the line that passes through (-4, 8) and has a slope of -3.

Answers

Answer:

y= -3x-4

Step-by-step explanation:

Since we already know the slope, we have to plug in values to find out the constant of the equation. We use the point given to figure it out. Y+8 and x=-4, therefore 8=-3(-4)+c ---> 8=12+c. C=-4

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