Question

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Answer 1

... hits the spot

Answer 2

^^

Answer 3

Save your time and use this
https://www.google.com/webhp?sourceid=chrome-instant&rlz=1C1GGGE_enUS424US424&ion=1&espv=2&ie=UTF-8#q=surface%20area%20of%20a%20rectangular%20prism

Answer 4

You baboon

I wanted to make a tutorial, but everyone made tutorials I wanted to made, so I decided this ;D

Answer 5

Plus I am insanely bored

Answer 6

Yes I am :P

Answer 7

Hehe I'll post your tutorial and call it mine :D Thanks to this copy button it is no pain to copy your \(\ \LaTeX\)

Answer 8

Dang it. Copying it from word does the whole question mark thingies

Answer 9

Poop, hold on a sec

Answer 10

\(\tt \huge \color{#730000}{How~to~Find~the~}\)
\(\tt \huge \color{#730000}{Surface~Area~\&~Volume}\)
\(\tt \huge \color{#730000}{of~a~Rectangular~Prism~\&}\)
\(\tt \huge \color{#730000}{a~Cube}\)
This is a Math Tutorial about how to find the Area and Volume of a Rectangular Prism and a Cube.

\(\tt \large \color{#730000}{-Table~ of ~Contents-}\)
\(\tt \color{#730000}{Section~1}\) - Surface Area of a Rectangular Prism
\(\tt \color{#730000}{Section~2}\) -Surface Area of a Cube
\(\tt \color{#730000}{Section~3}\) - Volume of a Rectangular Prism
\(\tt \color{#730000}{Section~4}\) - Volume of a Cube
___________________________________________________________________

\(\tt \huge \color{#730000}{Section~1}\)
\(\tt \huge \color{#730000}{Surface~Area~of~a~}\)
\(\tt \huge \color{#730000}{Rectangular~Prism}\)

The surface area of a rectangular prism is the area of all the faces of the rectangular prisms added together, but instead of finding the area of each face there is a formula that we can use to make things easier. We can use this formula, \(\large \tt \color{#730000}{SA~=~2(w\color{#73000}{\normalsize \bf l}~+~h\color{#73000}{\normalsize \bf l}~+~hw)}\), where \(\large \tt \color{#730000}{w~=~width}\), \(\large \tt \color{#730000}{h~=~height}\), and \(\bf \color{#730000}{l~=~l}\color{#730000}{\tt ength}\)

So let's say this is the rectangular prism that was given to us, and we have to find the Surface area.

(drawing of rectangular prism l 12in x h 6in x w 4in)

As we can see, the width is \(\tt \color{#730000}{4in}\), the length is \(\tt \color{#730000}{12in}\), and the height is \(\tt \color{#730000}{6in}\). We can plug in these values into the formula given above.

\(\large \tt \color{#730000}{SA~=~2(w\color{#73000}{\normalsize \bf l}~+~h\color{#73000}{\normalsize \bf l}~+~hw)}\)

\(\large \tt \color{#730000}{SA~=~2(4\times12~+~6\times12~+~6\times4)}\)

Following the Order of Operations, we must do what is in the parenthesis first, and as we can see there is both multiplication and addition, so what do we do first? We multiply first, and then we add and the products of the multiplication in the equation. Make sure to multiply starting from the left of the equation, so we first multiply \(\tt \color{#730000}{4\times12}\).

\(\large \tt \color{#730000}{SA~=~2(\color{magenta}{4\times12}~+~6\times12~+~6\times4)}\)
\(\large \tt \color{#730000}{SA~=~2(\color{magenta}{48}~+~6\times12~+~6\times4)}\)

Now multiply \(\tt \color{#730000}{6\times12}\)

\(\large \tt \color{#730000}{SA~=~2(48~+~\color{magenta}{6\times12}~+~6\times4)}\)
\(\large \tt \color{#730000}{SA~=~2(48~+~\color{magenta}{72}~+~6\times4)}\)

Now down to the last multiplication in the parenthesis, we are still multiplying. Multiply \(\tt \color{#730000}{6\times4}\)

\(\large \tt \color{#730000}{SA~=~2(48~+~72~+~\color{magenta}{6\times4})}\)
\(\large \tt \color{#730000}{SA~=~2(48~+~72~+~\color{magenta}{24})}\)

Still doing what is in the parenthesis, we add, starting from the left side of the equation. That means we must add \(\tt \color{#730000}{48~+~72}\) first.

\(\large \tt \color{#730000}{SA~=~2(\color{magenta}{48~+~72}~+~24)}\)
\(\large \tt \color{#730000}{SA~=~2(\color{magenta}{120}~+~24)}\)

Now we are at the last step of solving what is in the parenthesis, which is \(\tt \color{#730000}{120~+~24}\)

\(\large \tt \color{#730000}{SA~=~2(\color{magenta}{120~+~24})}\)
\(\large \tt \color{#730000}{SA~=~2(\color{magenta}{144})}\)

This is the very last step - multiplying \(\tt \color{#730000}{2}\) by what was in the parenthesis.

\(\large \tt \color{#730000}{SA~=~\color{magenta}{2(144)}}\)
\(\large \tt \color{#730000}{SA~=~\color{magenta}{288}}\)

Our final answer is \(\tt \color{#730000}{288in}\), and that is how you find the Surface Area of a Rectangular Prism
___________________________________________________________________

\(\tt \huge \color{#730000}{Section~2}\)
\(\tt \huge \color{#730000}{Surface~Area~of~a~Cube}\)

We can find the surface area of a cube by finding the area of each face of the cube and add all the areas together to get your answer, or we can use a much more simple way. We can use the formula \(\large \tt \color{#730000}{SA~=~6a^2}\), where \(\large \tt \color{#730000}{a}\) means the length of one edge of the cube.

Let's say this is the cube given to us, and we have to find the surface area of it.
(drawing of a cube with side length of 3in)

As we can see in the picture, one edge length is 3in, so \(\tt \color{#730000}{3~=~a}\)

We can plug in \(\tt \color{#730000}{3}\) now in the equation, replacing the variable a

\(\large \tt \color{#730000}{SA~=~6a^2}\)
\(\large \tt \color{#730000}{SA~=~6\times3^2}\)

Following the Order of Operations, we have to do the exponent, \(\tt \color{#730000}{3^2}\), first.

\(\large \tt \color{#730000}{SA~=~6\times\color{magenta}{3^2}}\)
\(\large \tt \color{#730000}{SA~=~6\times\color{magenta}{(3\times3)}}\)
\(\large \tt \color{#730000}{SA~=~6\times\color{magenta}{9}}\)

Now to finish off the problem, we must multiply \(\tt \color{#730000}{6\times9}\)

\(\large \tt \color{#730000}{SA~=~\color{magenta}{6\times9}}\)
\(\large \tt \color{#730000}{SA~=~\color{magenta}{54}}\)

Our final answer is \(\tt \color{#730000}{54in}\), and that is how you find the Surface Area of a Cube.
___________________________________________________________________

Answer 11

Fixed it for you... Need to clear it up... all the latex is making this post lag lol

Answer 12

Clear it up as in..?

Use less LaTeX or delete the old post?

Answer 13

comments, not posts

Answer 14

delete the old comments..

Answer 15

Yeah I am :P

Answer 16

I have two more sections then I am finished. I will revise then make the official post x_x Then maybe go to sleep

Answer 17

I'll make it.. jk lol

Answer 18

Lol puhlease

Answer 19

gtg ttyl

Answer 20

Byee

Answer 21

\(\tt \huge \color{#730000}{How~to~Find~the~}\)
\(\tt \huge \color{#730000}{Surface~Area~\&~Volume}\)
\(\tt \huge \color{#730000}{of~a~Rectangular~Prism~\&}\)
\(\tt \huge \color{#730000}{a~Cube}\)
This is a Math Tutorial about how to find the Area and Volume of a Rectangular Prism and a Cube.

\(\tt \large \color{#730000}{-Table~ of ~Contents-}\)
\(\tt \color{#730000}{Section~1}\) - Surface Area of a Rectangular Prism
\(\tt \color{#730000}{Section~2}\) -Surface Area of a Cube
\(\tt \color{#730000}{Section~3}\) - Volume of a Rectangular Prism
\(\tt \color{#730000}{Section~4}\) - Volume of a Cube
___________________________________________________________________

\(\tt \huge \color{#730000}{Section~1}\)
\(\tt \huge \color{#730000}{Surface~Area~of~a~}\)
\(\tt \huge \color{#730000}{Rectangular~Prism}\)

The surface area of a rectangular prism is the area of all the faces of the rectangular prisms added together, but instead of finding the area of each face there is a formula that we can use to make things easier. We can use this formula, \(\large \tt \color{#730000}{SA~=~2(w\color{#73000}{\normalsize \bf l}~+~h\color{#73000}{\normalsize \bf l}~+~hw)}\), where \(\large \tt \color{#730000}{w~=~width}\), \(\large \tt \color{#730000}{h~=~height}\), and \(\bf \color{#730000}{l~=~l}\color{#730000}{\tt ength}\)

So let's say this is the rectangular prism that was given to us, and we have to find the Surface area.

(drawing of rectangular prism l 12in x h 6in x w 4in)

As we can see, the width is \(\tt \color{#730000}{4in}\), the length is \(\tt \color{#730000}{12in}\), and the height is \(\tt \color{#730000}{6in}\). We can plug in these values into the formula given above.

\(\large \tt \color{#730000}{SA~=~2(w\color{#73000}{\normalsize \bf l}~+~h\color{#73000}{\normalsize \bf l}~+~hw)}\)

\(\large \tt \color{#730000}{SA~=~2(4\times12~+~6\times12~+~6\times4)}\)

Following the Order of Operations, we must do what is in the parenthesis first, and as we can see there is both multiplication and addition, so what do we do first? We multiply first, and then we add and the products of the multiplication in the equation. Make sure to multiply starting from the left of the equation, so we first multiply \(\tt \color{#730000}{4\times12}\).

\(\large \tt \color{#730000}{SA~=~2(\color{magenta}{4\times12}~+~6\times12~+~6\times4)}\)
\(\large \tt \color{#730000}{SA~=~2(\color{magenta}{48}~+~6\times12~+~6\times4)}\)

Now multiply \(\tt \color{#730000}{6\times12}\)

\(\large \tt \color{#730000}{SA~=~2(48~+~\color{magenta}{6\times12}~+~6\times4)}\)
\(\large \tt \color{#730000}{SA~=~2(48~+~\color{magenta}{72}~+~6\times4)}\)

Now down to the last multiplication in the parenthesis, we are still multiplying. Multiply \(\tt \color{#730000}{6\times4}\)

\(\large \tt \color{#730000}{SA~=~2(48~+~72~+~\color{magenta}{6\times4})}\)
\(\large \tt \color{#730000}{SA~=~2(48~+~72~+~\color{magenta}{24})}\)

Still doing what is in the parenthesis, we add, starting from the left side of the equation. That means we must add \(\tt \color{#730000}{48~+~72}\) first.

\(\large \tt \color{#730000}{SA~=~2(\color{magenta}{48~+~72}~+~24)}\)
\(\large \tt \color{#730000}{SA~=~2(\color{magenta}{120}~+~24)}\)

Now we are at the last step of solving what is in the parenthesis, which is \(\tt \color{#730000}{120~+~24}\)

\(\large \tt \color{#730000}{SA~=~2(\color{magenta}{120~+~24})}\)
\(\large \tt \color{#730000}{SA~=~2(\color{magenta}{144})}\)

This is the very last step - multiplying \(\tt \color{#730000}{2}\) by what was in the parenthesis.

\(\large \tt \color{#730000}{SA~=~\color{magenta}{2(144)}}\)
\(\large \tt \color{#730000}{SA~=~\color{magenta}{288}}\)

Our final answer is \(\tt \color{#730000}{288in}\), and that is how you find the Surface Area of a Rectangular Prism
___________________________________________________________________

\(\tt \huge \color{#730000}{Section~2}\)
\(\tt \huge \color{#730000}{Surface~Area~of~a~Cube}\)

We can find the surface area of a cube by finding the area of each face of the cube and add all the areas together to get your answer, or we can use a much more simple way. We can use the formula \(\large \tt \color{#730000}{SA~=~6a^2}\), where \(\large \tt \color{#730000}{a}\) means the length of one edge of the cube.

Let's say this is the cube given to us, and we have to find the surface area of it.
(drawing of a cube with side length of 3in)

As we can see in the picture, one edge length is 3in, so \(\tt \color{#730000}{3~=~a}\)

We can plug in \(\tt \color{#730000}{3}\) now in the equation, replacing the variable a.

\(\large \tt \color{#730000}{SA~=~6a^2}\)
\(\large \tt \color{#730000}{SA~=~6\times3^2}\)

Following the Order of Operations, we have to do the exponent, \(\tt \color{#730000}{3^2}\), first.

\(\large \tt \color{#730000}{SA~=~6\times\color{magenta}{3^2}}\)
\(\large \tt \color{#730000}{SA~=~6\times\color{magenta}{(3\times3)}}\)
\(\large \tt \color{#730000}{SA~=~6\times\color{magenta}{9}}\)

Now to finish off the problem, we must multiply \(\tt \color{#730000}{6\times9}\)

\(\large \tt \color{#730000}{SA~=~\color{magenta}{6\times9}}\)
\(\large \tt \color{#730000}{SA~=~\color{magenta}{54}}\)

Our final answer is \(\tt \color{#730000}{54in}\), and that is how you find the Surface Area of a Cube.
___________________________________________________________________

\(\tt \huge \color{#730000}{Section~3}\)
\(\tt \huge \color{#730000}{Volume~of~a~Rectangular~Prism}\)

The volume of a rectangular prism is the amount of space the prism takes up, We can easily find the volume of a rectangular prism by using this formula, \(\large \tt \color{#730000}{V~=~wh\color{#730000}{\bf \normalsize l}}\), where \(\large \tt \color{#730000}{w~=~width}\), \(\large \tt \color{#730000}{h~=~height}\), and \(\bf \color{#730000}{l~=~l}\color{#730000}{\tt ength}\)

Say we were given this rectangular prism, and we had to find the volume.

(drawing of rectangular prism l = 6 w = 2 and h = 4)

As we can see in the picture, \(\tt \color{#730000}{w~=~2in}\), \(\tt \color{#730000}{h~=~4in}\), and \(\tt \color{#730000}{\color{#730000}{\bf l}~=~6in}\)

Now we can plug in these values into the formula, replacing the variables

\(\large \tt \color{#730000}{V~=~wh\color{#730000}{\bf \normalsize l}}\)
\(\large \tt \color{#730000}{V~=~2\times4\times6}\)

Following the Order of Operations, we must multiply starting from \( \tt \color{#730000}{2\times4}\)

\(\large \tt \color{#730000}{V~=~\color{magenta}{2\times4}\times6}\)
\(\large \tt \color{#730000}{V~=~\color{magenta}{8}\times6}\)

Lastly, we must multiply \( \tt \color{#730000}{8\times6}\)

\(\large \tt \color{#730000}{V~=~\color{magenta}{8\times6}}\)
\(\large \tt \color{#730000}{V~=~\color{magenta}{4}}\)

Our final answer is \( \tt \color{#730000}{48in}\), and that is how you find the Volume of a Rectangular Prism.

Answer 22

You copied me!! and you just added one part... jk.. Anybody can see that I posted it first...