A company rents two storage units. Both units are cube- shaped. What is the difference in volume of the two storage units? Note that the volume of a cube a square is s(2) , where is the side length. Explain.
Answers
Answer:
The difference between their volumes is [tex]237.375ft^3[/tex]
Step-by-step explanation:
The attachment completes the question.
For cube 1:
[tex]s_1 = 8ft[/tex]
For cube 2:
[tex]s_2 = 6.5ft[/tex]
Required
The difference in their volumes
First, we calculate the volume of box 1
[tex]V_1 = s_1^3[/tex]
Substitute 8 for s1
[tex]V_1 = 8^3[/tex]
[tex]V_1 = 512ft^3[/tex]
Next, we calculate the volume of box 2
[tex]V_2 = s_2^3[/tex]
Substitute 6.5 for s2
[tex]V_2 = 6.5^3[/tex]
[tex]V_2 = 274.625ft^3[/tex]
The difference is then calculated as:
[tex]Difference = |V_1- V_2|[/tex]
[tex]Difference = |274.625- 512|[/tex]
[tex]Difference = |-237.375|[/tex]
[tex]Difference = 237.375[/tex]
Hence, the difference between their volumes is [tex]237.375ft^3[/tex]
Related Questions
The campsite costs $10 a night and you stay 5 nights. If the sales tax is 8%, how much will it cost for 5 nights with tax?
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Answer:
54
Step-by-step explanation:
5*10 = 50
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Write an algebraic expression or equation to represent each word phrase.
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Answers
Answer:
2n + 17
Step-by-step explanation:
How long is the rectangle? *
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Answers
Solution
here, length= 5cm
breath= ?
Perimeter= 86 cm
By the question,
Perimeter (P) = l×b = 86 cm
or, 5cm × b= 86 cm
or, b = 86÷ 5
or, b= 17.2 cm
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Answer:
D
Step-by-step explanation:
A store donated a percent of every sale to . The total sales were $ so the store donated $. What percent of $ was donated to ?
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Answer:
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Step-by-step explanation:
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Answer:
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x intercept (49,0)
Step-by-step explanation:
the spinner below is spun then the a month of the year is randomly selected. Find each probability
Answers
Answer:
I think the answer is 0.3
Step-by-step explanation:
Sorry if am wrong.
Answer:
Step-by-step explanation:
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2)Refer to the table on air travel selected airports. Suppose a flight that arrived at El Centro is selected at random. What is the probability that the flight did not arrive on time? write your answer as a fraction, decimal and percent.
80% on time so 20% are not on time
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20%, .2, 1/5
3)The spinner has 8 sectors labeled with letters. Each sector of the spinner below is the same size, as shown.
If the arrow is spun 400 times , how many times would it be expected to land on a sector labeled B?
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PLEASE MARK ME AS BRAINLIEST
which letter has rotational symmetry?
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Answers
Answer: X
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
Answer: A) -8
Step-by-step explanation:
The image shows the triangle where it can be noted that two of its sides are congruent (according to the tick marks). This forms an isosceles triangle that also has two congruent angles as shown in the image below.
The other angle (2) has a measure of x+88.
The sum of the internal angles of the triangle must be 180°, thus:
x + 88 + 50 + 50 = 180
Simplifying:
x + 188 = 180
x = 180 - 188 = -8
x = -8
Answer: A) -8
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Answers
Answer:
12 yd
Step-by-step explanation:
yo yo yo hi hi hi hi hi
so b*h=96
so 8b=96
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April wants to multiply 6 and 42 using the distributive property. Which of the following number sentences shows how
she could do it?
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2)
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Answer:
I'm pretty sure the answer is the last one;
6 x (40+2) = (6 x 40) + (6 x 2)
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Answer:
69
Step-by-step explanation:
a bed of a pickup truck measures 4 ft by 8 ft to the nearest inch what is the length of the longest thin metal bar that will lie flat in the bed
Answers
Answer:
11 ft 3 in
Step-by-step explanation:
The bed of a pickup truck measures 4 feet by 8 feet. To the nearest inch, what is the length of the longest thin metal bar that will lie flat in the bed? 11 ft 3 in.
Answer:
Step-by-step explanation:
the diagonal is the longest so use Pythagoras
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c^2=4^2+8^2
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c =[tex]\sqrt{80}[/tex]
c = 8.944 ft
Ms. Franco bought her daughter a new scooter. The scooter cost $40.00. Sales tax was
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Answers
Answer: $43.00
Step-by-step explanation:
40.00 + 40.00 ÷ 100 × 7.5 = 43.00
Gregor Mendel is examining peas to try to understand how traits are passed from parents to offspring. Today, Gregor has 228 peas to examine. The pods have 6 peas per pod.
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Answers
Answer:
There are 38 pods, because 228 divided by 6= 38
Step-by-step explanation:
(number of pods)×(peas per pod)=(total peas)
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Answers
Answer:
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It's just a lot of reversing operations and seeing what fits, but if you have more you want to try, just make sure you remember borrowing and carrying numbers because they make a big difference.
Activity 12.1 Tax, Tip, and Discount
What percentage of the car price is the tax?
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tax
Answers
Answer:
25%
Step-by-step explanation:
(1/4)x100=0.25x100=25, The tax is 25%
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Answers
Answer:
-x^3 + 2x^3+ 4x^3 + 3x^2 + 7x^2-x^2-9x + 8x-5-1
Step-by-step explanation:
Here, we want to have an expression of at least ten terms which when simplified would give polynomial
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You have $49 to spend on vacation in LA. If sales tax in Los Angeles is 9.75% and you want to buy a pair of shoes that are priced at $45, do you have enough money
Answers
45 * 1.0975= 49.39
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Answers
Answer:
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Step-by-step explanation:
The measure of BCD will be equal to the measures of BAC and ABC added together.
Hope this helps :-)
The price of a pair of shoes increases from $67 to $79. What is the percent increase to the nearest percent?
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Answers
Answer: 17.9%
Step-by-step explanation:
The formula for the area, A, of a regular polygon in terms of the perimeter of the polygon, p, and the length of the apothem, a, is:
img2
Upper A = one-half a p. A polygon with 5 sides has an apothem with measure a.
What is the equivalent equation when solving for p?
Answers
Answer:
2
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
please mark brainliest
i need it for a new rank<3
The half-life of carbon-14 is 5,730 years. Suppose a fossil is found with 10 percent as much of its carbon-14 as compared to a living sample. How old is the fossil?
1904 years
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19039 years
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Answers
Answer:
It is 19039 years
Step-by-step explanation:
I took the test and double checked on my calculator.
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Answers
z = 106
y = 74
Since angle 74 and angle y are the same sizes, you can know for a fact they are the same measurments. Next, you would do 74(2) and that would get you 148. 360 - 148 is 212. 212/2 is 106. TADAAAAA. That's the answer.
Can someone help me with question 12A please? Thank you!
Answers
Answer:
Step-by-step explanation:
SOORY
ou go to the store and buy jeans for $40, a shirt for $20, and a jacket for $60. You have a coupon for 35% off. What is the sale price?
Answers
Answer:
SAME AS THIS
Explanation:
County A: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!
$75 * 0.0725 = $5.4375
Add the original price and the sales tax.
$75 + $5.4375 = $80.4375
County B: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!
$70 * 0.08 = $5.6
Add the original price and the sales tax.
$70 + $5.6 = $75.6
Then take the difference.
80.4375 – 75.6 = 4.8375
Round to the nearest hundredth: $4.84
Answer:
the sale price would be $78
Step-by-step explanation:
add up all the prices to get 120
35% taken off of 120 is 78
factorise 2x^2 + 7x + 3
Answers
=2x^2 +7x+3
Make pairs:
= 2x^2+6x+x+3
= 2x(x+3)+1(x+3)
=(x+3)(2x+1)
SOMEONE HELP PLEASE
How do you solve real-world problems that involve multiple percents?
Answers
Answer:
WATCH A VIDEO
Step-by-step explanation:
Jeremy built an office with a floor area of 55/14 square feet. The office is rectangular in shape. If the length of the room is 8 1/2 feet, what is the width of the room?
Answers
Answer:
110/289 feet
Step-by-step explanation:
Step one:
given data
Area of the floor= 55/14 square feet.
The length of the floor= 8 1/2 feet-----convert to simple fraction= 17/2 feet
Step two:
The expression for the area of the room is
Area= L*W
55/14= 17/2*W
55/14=17W/2
cross multiply
17W*14=55*2
289W=110
divide both sides by 289
W= 110/289 feet
