Mathematics : asked on datands
 26.04.2020

A right rectangular box has a volume of 1144 ft.³. The box is 8 feet long and 13 feet high. How wide is the box?

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Step-by-step answer

09.07.2023, solved by verified expert
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Volume of a Rectangular Prism

To solve for the volume of a rectangular prism, we could use the following formula:

A right rectangular box has a volume of 1144, №18010654, 26.04.2020 06:13

V = volumel = lengthw = widthh = height

Although we typically use this formula to solve for the volume, we could also use it to determine any of the variables above. All we have to do is rearrange the equation to isolate what we need to find.

Solving the Question

We're given:

V = 1144 ft³l = 8 fth = 13We must solve for the width of the box

First, rearrange the volume formula to isolate width (w):

A right rectangular box has a volume of 1144, №18010654, 26.04.2020 06:13

⇒ Divide both sides by A right rectangular box has a volume of 1144, №18010654, 26.04.2020 06:13:

A right rectangular box has a volume of 1144, №18010654, 26.04.2020 06:13

⇒ Plug in the given values for V, l and h:

A right rectangular box has a volume of 1144, №18010654, 26.04.2020 06:13

Therefore, the box is 11 ft wide.

Answer

The box is 11 ft wide.

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Mathematics
Step-by-step answer
P Answered by Master
Volume of a Rectangular Prism

To solve for the volume of a rectangular prism, we could use the following formula:

V=l*w*h

V = volumel = lengthw = widthh = height

Although we typically use this formula to solve for the volume, we could also use it to determine any of the variables above. All we have to do is rearrange the equation to isolate what we need to find.

Solving the Question

We're given:

V = 1144 ft³l = 8 fth = 13We must solve for the width of the box

First, rearrange the volume formula to isolate width (w):

V=l*w*h

⇒ Divide both sides by l*h:

\dfrac{V}{l*h}=\dfrac{l*w*h}{l*h}\\\\\dfrac{V}{l*h}=w\\\\w=\dfrac{V}{l*h}

⇒ Plug in the given values for V, l and h:

w=\dfrac{1144}{8*13}\\\\w=11

Therefore, the box is 11 ft wide.

Answer

The box is 11 ft wide.

Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

Let the father's age be x and son's be y

10 years before-

Father age=x-10

sons age=y-10

Given,

x-10=10(y-10)

x-10=10y-100

Given present age of father=40

therefore,

x=40

40-10=10y-100

10y-100=30

10y=130

y=130/10

y=13

Therefore present age of son=13years

Mathematics
Step-by-step answer
P Answered by PhD

Cost of 6 gallons =$15

Cost of 1 gallon =15/6

                           =$2.5

Cost of 7 gallons=$2.5 * 7

                           =$17.5

Mathematics
Step-by-step answer
P Answered by PhD

We can put the numbers in ascending order-

36, 38, 39, 39, 40, 47, 48, 51

Range=max-min

          =51-36

          =15

Mathematics
Step-by-step answer
P Answered by PhD

Decrease in bikes sale = 650 - 572 = 78

%Decrease = (change)/old value * 100

%Decrease in sale = 78/650 * 100 = 12%

Decrease in sale = 12%

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