A company is trying to calculate the amount of
concrete that will be needed to create one concrete
block that is in the form below.
The concrete block is a rectangular prism with two
cubes cut out. The cubes have a side length of 6
inches.
What is the total volume, cubic feet, of concrete
needed to make this block?

A Company Is Trying To Calculate The Amount Ofconcrete That Will Be Needed To Create One Concreteblock

Answers

Answer 1

Answer:

[tex]0.19\,\,cubic\,\,feet[/tex]

Step-by-step explanation:

Given:

The concrete block is a rectangular prism with two  cubes cut out. The cubes have a side length of 6  inches.

To find: total volume, cubic feet, of concrete  needed to make this block

Solution:

Side of cube = 6 inches

Volume of cube = [tex](side)^3=6^3=216\,\,cubic\,\,inches[/tex]

So, volume of two cubes = 2(216) = 432 cubic inches

Length of rectangular prism = 12 inches

Breadth of rectangular prism = 8 inches

Height of rectangular prism = 8 inches

Volume of rectangular prism = length × breadth × height = [tex]12(8)(8)=768 \,\,cubic\,\, inches[/tex]

Total volume of concrete  needed to make this block = Volume of rectangular prism - Volume of two cubes = 768 - 432 = 336 cubic inches = [tex]\frac{336}{1728} =0.19\,\,cubic\,\,feet[/tex]

( use 1 cubic inch = [tex]\frac{1}{1728} \,\,feet[/tex])


Related Questions

Find the measure of x.
15(x+2)
X=-1
x = 7
X = 9
x=13

Answers

Answer:

x=7

Step-by-step explanation:

7+2 = 9. 9*15 = 135 degrees

The answer is x=7. 135=15(x+2). Then you’ll get 135=15x+30. You subtract 30 from each side leaving 105=15x. To get x by itself, you then divide 15 on both sides, making the answer x=7.

Write the following number in scientific notation:
0.0000487

Answers

Answer:

4.87 × 10-5

Step-by-step explanation:

Hopes this helps.

The answer is 4.87 x 10^-5

Which values are solutions to the inequality below
Check all that apply

Answers

I honestly don’t know

The area of a wetland is 10,000 acres. A biologist predicts that the area of the wetland will change according to the equation y equals 10000 left-parenthesis 0.65 right-parenthesis Superscript x Baseline, where y is the area of the wetland after x years. Based on the biologist's prediction, what will the area of the wetland be in 2 years?

Answers

Answer:

4,225 acres

Step-by-step explanation:

If a biologist predicts that the area of the wetland will change according to the equation [tex]y = 10,000(0.65)^{x}[/tex] where;

y is the area of the wetland after x years

In order to determine the area of the wetland in 2 years based on the biologist prediction, we will substitute the value of x = 2 into the modeled equation as shown;

[tex]y = 10,000(0.65)^{2}\\y = 10,000 * 0.4225\\y = 4225[/tex]

The area of the wetland in 2 years based on the biologist prediction will be 4225 acres

Answer:

4225

Step-by-step explanation:

2. The length of the side of a square is
represented by the expression 2a²b. Which
term represents the area of this square?
A. 8a3b
B. 4a3b
C. 4a4b2
D. 2a6b2

Answers

B!!! Explanation: just took the test

Which is a solution to 2x + 1 = 21?

Answers

Answer:

x = 10 is your answer

- Explain -

Step 1: subtract 1 from both sides (subtraction of equality)

which will give us:

2x = 21 - 1

which equals to

2x = 20

Step 2: Divide both sides by 2

which is

2x/2 = 20/2

2/2 = 1 and 20/2 = 10

Therefore the answer is x = 10

making a sandwich with ham, turkey, or roast beef; swiss or provolone cheese; and mustard or mayonnaise. how many outcomes are there A. 14 C. 16 B. 12 D. 19

Answers

The answer is 12

Ham, swiss, mustard

Ham, swiss, mayonnaise

Ham, provolone, mustard

Ham, provolone, mayonnaise

Turkey, swiss, mustard

Turkey, swiss, mayonnaise

Turkey, provolone, mustard

Turkey, provolone, mayonnaise

Roast beef, swiss, mustard

Roast beef, swiss, mayonnaise

Roast beef, provolone, mustard

Roast beef, provolone, mayonnaise

A Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0). where is the ball after six seconds?

Answers

We have been given that a Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0).

We are asked to find the position of ball after 6 seconds.

We will use horizontal position and vertical position formula to solve our given problem.

Horizontal position is given by formula: [tex]x=v\cdot \text{cos}(\theta)\cdot t[/tex] and vertical position is given by formula: [tex]y=v\cdot \text{sin}(\theta)\cdot t[/tex],where,

v = Velocity,

t = Time,

[tex]\theta[/tex] = Angle to the starting line.

For our given problem [tex]v=1.6[/tex], [tex]t=6[/tex] and [tex]\theta=85^{\circ}[/tex].

[tex]x=1.8\cdot \text{cos}(85^{\circ})\cdot 6[/tex]

[tex]x=10.8 \cdot 0.087155742748[/tex]

[tex]x=0.9412820216784\approx 0.94[/tex]

[tex]y=1.8\cdot \text{sin}(85^{\circ})\cdot 6[/tex]

[tex]y=10.8\cdot 0.996194698092[/tex]

[tex]y=10.7589027\approx 10.76[/tex]

Therefore, the position of ball after 6 seconds would be [tex](0.94,10.76)[/tex].

Answer:

(0.8,9.6)

Step-by-step explanation:

x=1.6*cos85* 6=0.8

y=1.6*sin85 *6=9.6

What is the range for this data set?
37 years
9 years
41 years​

Answers

Answer:

30 years

Step-by-step explanation:

41 minus 11=

A sports stadium holds 14,600 people. There are eight home games in
a season. Find the total number of people who could attend home
games in one season.

Answers

Answer:

116800

Step-by-step explanation:

14600x8

166800

Answer:

b

Step-by-step explanation:

hope this helps you

HELP ME WITH MY 7th-GRADE MATH HW (will mark brainless)

Answers

Answer:

124 sq cm

Step-by-step explanation:

Surface Area of the recatangles on both sides is 50 cm each so

50+50=100

and the area of the two triangles is 12 each so

12+12=24

and 100+24=124

Answer:

184cm^2

Step-by-step explanation:

SA=hp+2B

h=10

p=16

hp=160

B= 1/2bh

B=12

12x2=24

hp+2B= 24+160= 184

Can someone please tell me what is -1/9(-27) please ​

Answers

3 is the right awnser

A rectangular flower garden in Samantha's backyard has 100 feet around its edge. The width of the garden is 20 feet.
What is the length of the garden?

Answers

Answer:

Step-by-step explanation:

Total= 100 Ft

Width= 20

Length=?

Total - Width = Length

100 - 20 =

80 Length Of the Garden

What is the slope of y=5x-1y=5x−1y, equals, 5, x, minus, 1?

Answers

Answer:

5

Step-by-step explanation:

In this question the slope would be 5.

y= mx + b is the equation being used.

y = 5x -1

m = slope

Answer:

5

Step-by-step explanation:

What is the sticker price for a vehicle with the following features and costs: suggested retail price of $13,760, destination charge of $475, equipped with AC, cruise control, and a custom sound system for $800, $235, and $490, respectively?

$15,760


$13,760


$13,370


$11,760

Answers

Answer:

15,760

Step-by-step explanation:

I just added all of them...

The sticker price we just need to add all the extras to the suggested retail price. The total sticker price would be $15,760.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

To find the sticker price we just need to add all the extras to the suggested retail price:

suggested retail price       $13,760

air conditioner                    $800

cruise control                     $235

custom sound system       $490

destination charge            $475

total sticker price = 13,760 + 800 + 235 + 490 + 475

                              = 15,760

The total sticker price would be $15,760.

The sticker price includes all the extras that the car dealer adds to the MSRP, and is generally the price of ready-to-sell cars.

Learn more about addition;

https://brainly.com/question/14092461

#SPJ2

Find the area of the shape shown below.

Answers

Answer:

44.5

Step-by-step explanation:

(1 x 12) + (5 x 13)/2 = 44.5

Answer: 44,5 cm2

Step-by-step explanation:

Rektangel:

1 × 12 = 12 cm2

triangel:

13 × 5 = 65 cm2

78 ÷ 2 = 32,5 cm2

Area:

32,5 + 12 = 44,5 cm2

Question 25

.........................................................

Answers

Answer:

its c

Step-by-step explanation:

|n|=5 what is the value for n.

A -5or5
B 0 and 5
C -5 only
D 5 only

Answers

Answer:

A -5or5

Step-by-step explanation:

|n|=5

Absolute value means take the positive value of the number

|5|=5

|-5|=5

so positive 5 and -5

Please justify the answer

Answers

Answer:

The age of the car in years is the independent variable

The average miles is the dependent variable

Step-by-step explanation:

Typically, the age of the car will have an affect on the number of miles per gallon. However, the number of miles per gallon will not make it gain or lose more years, so the age is independent because it does not depend on another variable.

Hope this makes sense :)

a baseball game has a total of 9 inning. in each inning there are 2 teams that each have to make 3 outs in order for the inning to be complete​

Answers

What is the question?

Percentages equal to 100% and how?

Answers

Answer:

2 or more percents add up to 100% or one percent is 100%

Step-by-step explanation:

asapppp

What is the lateral area of the rectangular prism
shown below?
a. 128 ft2
b. 135 ft2
c. 238 ft2
d. 504 ft2

Answers

i believe you multiple all three together and you get d. 504

Find the 40th term of this arithmetic sequence 4,9,14,19

Answers

Answer:

199

Step-by-step explanation:

I believe it's 199. The interval is just 5.

Answer:

the answer is going to be more than 11111111111119 (this is the 26th term)

Step-by-step explanation:

Factor the expression below.
x2 - 6x + 9
A.
(x + 3)(x + 3)
B.
3(x2 - 2x + 3)
OC. (x-3)(x-3)
OD.
(x - 3)(x + 3)
HELP

Answers

Answer:  (x-3)(x-3)

This is a perfect square trinomial in the form a^2 - 2ab + b^2 = (a-b)^2. In this case, a = x and b = -3.

Another way you can look at it is to ask yourself "what two numbers multiply to 9 (last term) and add to -6 (middle coefficient)?". Those two numbers are -3 and -3

-3 plus -3 = -6

-3 times -3 = 9

So this is why x^2-6x+9 = (x-3)(x-3)

We can expand (x-3)(x-3) back out to get x^2-6x+9 again using the FOIL rule, distributive property, or the box method.

Answer:

C. (x-3)(x-3)

Step-by-step explanation:

x² - 6x + 9 = 0

x² - 3x - 3x + 9 = 0

x(x - 3) - 3(x - 3) = 0

(x - 3) (x - 3) = 0

Look at the data points on the graph:
Is this relation a function?

Answers

I am pretty sure that it is a function. Every input has one output. Here is a memory device that my teacher gave us. Hopefully it helps!!

Which figures can be circumscribed by a circle? Select all that apply.

Answers

Answer:

Using the properties of inscribed quadrilateral (the sum of two opposite angles is 180 deg), we have

Option A, B, C are all correct (those figures can be circumscribed by a circle).

Hope this helps!

:)

Which table of ordered pairs represents a proportional relationship?

Answers

Answer:

The first table

Step-by-step explanation:

Because both side -1 every time.

Answer: C

Step-by-step explanation:

It represents a proportional relationship because each time they add two

Which expression is equivalent to 10√5

Answers

Answer:

A. √500

Step-by-step explanation:

Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.

Hence 10√5 = √500

So we're using these rules:

√a·b = √a·√b

and of course

√a² = a  (a>0)

Simplify the following expression
x^5/x^-2=x^n
A. 8
B. 2
C. 7
D. 10

Answers

Answer:

7

Step-by-step explanation:

x^5/x^-2=x^n

x^5=x^n×x^-2

x^5=x^-2+n

5=-2=n

n=7

this is 100% correct

plzz mark me brainliest

please answer this and please provide explanation since I need to explain in homework thank you I really appreciate it

Answers

Answer:

27648inches÷64inches=432 tiles

Step-by-step explanation:tiles cost 3456

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