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2 years ago

The volume of a cube is 8000 cubic feet, what is the area of one of its faces?

Mathematics

1 answer:

eimsori [14]2 years ago

4 0

Since a cube is l x w x h, find the length of one side first:

∛8,000 = 20

The length of one side is 20 feet. This can represented as "s".

To find the area of one of the faces, use s²:

20² or 20 x 20 = 400

The area of one face is 400 ft²!

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Perimeter of rectangle is 48 inches area is 40 inches what are the length of the side

Aloiza [94]

$\bf \textit{perimeter of a rectangle}=p=side+side+side+side
\\\\
or\implies p=w+w+l+l\implies p=2w+2l
\\\\
p=2(w+l)\qquad 
\begin{cases}
w=width\\
l=length\\
------\\
p=48
\end{cases}\implies 40=2(w+l)\\\\
-----------------------------\\\\
\textit{area of it}=A=w\cdot l\qquad \begin{cases}
w=width\\
l=length\\
------\\
A=40
\end{cases}\implies 40=wl\\\\
-----------------------------\\\\$

$\bf thus\qquad 
\begin{cases}
40=2(w+l)\to \frac{40}{2}=w+l\to\frac{40}{2}-l=\boxed{w}
\\\\
40=wl\\
--------------\\
40=\left( \boxed{\frac{40}{2}-l} \right)\cdot l
\end{cases}$

solve for "l" to find its length

7 0

2 years ago

Carly has 2 more nickles than dimes in her pocket She has 40 cents How many nickels does carly have ? how many dimes does carly

Elina [12.6K]

Maybe if i add 10 + 30 is = 40 this is my answer

3 0

3 years ago

If a truck gets 14 mile to the gallon on average, how much does carbon dioxide is emitted into the atmosphere when the truck tra

Masja [62]

Converting 200 miles to the amount of carbon dioxide emission that would be 1.884 tons annually. This will be the amount of carbon dioxide given that 200 miles is monthly covered.

8 0

2 years ago

Read 2 more answers

Find the common difference of the arithmetic sequence –8, -2, 4, ...

ELEN [110]

Answer:

Step-by-step explanation:

$a_1=-8\\a_2=-2\\a_3=4\\\\d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}\qquad\qquad \{n\ge2\}\\\\\left{\big{a_2-a_1=-2-(-8)=-2+8=6}\atop\big{a_3-a_2=4-(-2)=4+2=6\quad\ \,}\right\}\implies\ \ d=6$

8 0

2 years ago

Solve the following new equation

mixer [17]

Answer:

<h3>x = 1.54 or x = - 4.54 to 2 decimal places</h3>

Step-by-step explanation:

x² + 3x - 7 = 0

Using the quadratic formula

a = 1 b = 3 c = - 7

$x = \frac{3 ± \sqrt{ {3}^{2} - 4(1)( - 7) } }{2(1)} \\ x = \frac{ - 3± \sqrt{9 + 28} }{2} \\ \\ x = \frac{ -3 ± \sqrt{37} }{2} \\ \\ x = \frac{ - 3 + \sqrt{37} }{2} \: \: \: \: \: or \: \: \: x = \frac{ - 3 - \sqrt{37} }{2} \\ \\ x = 1.54 \: \: \: or \: \: x = - 4.54$

Hope this helps you

7 0

3 years ago