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Morgarella [4.7K]
4 years ago
11

How do you find the area of a rectangular prism?

Mathematics
1 answer:
LuckyWell [14K]4 years ago
5 0
Hey there!

Let's first define what area means. Area is for two-dimensional shapes, and expressions how big something is and to what extent. There are formulas that can measure area because these shapes are totally flat, and there's nothing more to measure.

However, when we have three-dimensional figures such as rectangular prisms, we use surface area. Surface area measures the total area that the object takes up, and is a sum of the areas of all the faces. The formula for surface area of a rectangular prism is:

2(lw + wh + lh)

So if we had:

L = 5
W = 6
H = 3

We would have:

A = 2(5×6 + 6 × 3 + 5×3) =
2(30 + 18 + 15) =
2(48 + 15) =
2(63) =
A = 126 units cubed

Notice how it's units cubed because there's 3 dimensions.

Hope this helps!
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Please answer CORRECTLY !!!!!!!!! Will mark brainliest !!!!!!!!!!
Orlov [11]
-4x -6 = -5y + 2
5y = 4x + 6 + 2
5y = 4x + 8
Y = g(x) = 4/5x + 8/5
7 0
4 years ago
(-18x^2+12x-2)*(x^3+12x^2+48x+64)
prohojiy [21]
<h2>Answer:</h2>

-18x^5-204x^4-722x^3-600x^2+672x-128

<h2>Explanation:</h2>

( - 18 {x}^{2}  + 12x - 2)

( {x}^{3}  + 12 {x}^{2}  + 48x + 64)

There are multiple ways to solve this for example the foil method or the box method. I prefer to do the box method.

First we are going to set it up

After we set it up we have to solve it so first we are going to multiply

{x}^{3}  \times  - 18 {x}^{2}  =  - 18 {x}^{5}

We have to add the exponent

- 18 {x}^{2}  \times 12 {x}^{2}  =  - 216 {x}^{4}

- 18 {x}^{2}  \times 48x =  - 864 {x}^{3 }  \\  - 18{x}^{2}  \times 64 =  - 1152 {x}^{2}  \\ 12x \times  {x}^{3}  = 12 {x}^{4}  \\ 12x \times 12 {x}^{2}  = 144 {x}^{3}

12x \times 48x = 576 {x}^{2}  \\ 12x \times 64 = 768x

- 2  \times  {x}^{3}  =  - 2 {x}^{3}  \\  - 2 \times 12 {x}^{2}  =  - 24 {x}^{2}  \\  - 2 \times 48x =  - 96x \\  - 2 \times 64 =  - 128

Now we have to add them

-18x^5 stays because there is nothing to add to

Now we add the rest

-216 {x}^{4}  + 12 {x}^{4}  =  - 204 {x}^{4}

- 864 {x}^{3}  + 144 {x}^{3}  +  - 2 {x}^{3}  = -  722 {x}^{3}

768x - 96x = 672x

And -128 stays the same

- 1152 {x}^{2}  + 576 {x}^{2}  - 24 {x}^{2}  =  - 600 {x}^{2}

The answer is

-18x^5-204x^4-722x^3-600x^2+672x-128

5 0
4 years ago
I need the solution
Nataly [62]

The only thing you can do here is to try to simplify, so I'll assume that's what you want to do.

\dfrac{b^2-a^2}{2a^2+ab-3b^2}

The numerator is a difference of squares, so it's easy to factorize:

b^2-a^2=(b-a)(b+a)

In the denominator, we factorize by grouping:

2a^2+ab-3b^2=2a^2-2ab+3ab-3b^2=2a(a-b)+3b(a-b)=(2a+3b)(a-b)

So we have

\dfrac{b^2-a^2}{2a^2+ab-3b^2}=\dfrac{(b-a)(b+a)}{(2a+3b)(a-b)}=-\dfrac{b+a}{2a+3b}

5 0
4 years ago
Volume of prism? (I am in middle school.)
Alecsey [184]

Answer:

b=bh

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
What is the answer to this Question?<br><br><br> 8 – 6 (x – 4) = 2x – 2 (4x – 5) + 22
zimovet [89]

Answer:

Here

Step-by-step explanation:

Let's solve your equation step-by-step.

8−6(x−4)=2x−2(4x−5)+22

Step 1: Simplify both sides of the equation.

8−6(x−4)=2x−2(4x−5)+22

8+(−6)(x)+(−6)(−4)=2x+(−2)(4x)+(−2)(−5)+22(Distribute)

8+−6x+24=2x+−8x+10+22

(−6x)+(8+24)=(2x+−8x)+(10+22)(Combine Like Terms)

−6x+32=−6x+32

−6x+32=−6x+32

Step 2: Add 6x to both sides.

−6x+32+6x=−6x+32+6x

32=32

Step 3: Subtract 32 from both sides.

32−32=32−32

0=0

6 0
3 years ago
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