1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
S_A_V [24]
3 years ago
12

A cube has a surface area of 486 cm2. What is the side length ?

Mathematics
1 answer:
astraxan [27]3 years ago
3 0
A Cube, has all equal sides, namely, the length, width and height
are all equal to each other

so..  notice the picture added here
you have really, 6 squares, stacked up to each other at the edges

so...what is the Area of one of those squares?
well, if the sides are equal, let's say the side is "x" long, then
the Area is x\cdot x \implies x^2

well, you have 6 of those squares, thus \bf \textit{surface area of a cube}=
\begin{cases}
(x\cdot x)+\\
(x\cdot x)+\\
(x\cdot x)+\\
(x\cdot x)+\\
(x\cdot x)+\\
(x\cdot x)\\
 --------------\\
 x^2+x^2+x^2+x^2+x^2\\
6x^2
\end{cases}
\\\\
\textit{we know the Area is }486\ cm^2\qquad thus
\\\\
\textit{surface area}=6x^2\implies 486=6x^2

solve for "x", to get one side's length

You might be interested in
A car drives 50 miles in 40 minutes. how many miles does the car travel per minute
Anarel [89]
50 divided by 40 equals 1.25! So the car is going 1.25 mph
7 0
3 years ago
A muffin recipe calls for 2/5 tablespoons of vanilla extract for 6 muffins. Arthur is making 18 muffins. How much vanilla extrac
GuDViN [60]
2/5 tablespoons of vanilla extract ... 6 muffins
x tablespoons of vanilla extract = ? ... 18 muffins

If you would like to know how much vanilla extract does he need, you can calculate this using the following steps:

x * 6 = 18 * 2/5
x * 6 = 36/5    /6
x = 36/5 / 6
x = 6/5 = 1 1/5

Result: Arthur will need 1 1/5 tablespoons of vanilla extract for 18 muffins.
7 0
3 years ago
NEED HELP ASAP!!!! PLEASE!!! Explain the answer!!
xz_007 [3.2K]
She is wrong because she did the square root of 25 multiplied by 2, she should have just done the square root of 50.

For the second part the square root of 50 is 7.07 which rounding would equal 7.1.

Hope this helps.(ノ◕ヮ◕)ノ*:・゚✧ 

4 0
3 years ago
write an expression for the calculation 5 times the number 25 and then subtract the quotient of 14 and 7
gavmur [86]

(5*5=25)-(14+7=21) which is basically

25-21


5 0
3 years ago
Twice x plus 5 is the same as -12
Anastasy [175]

Answer:

Step-by-step explanation:

2x+5=-12

2x=-17

x=-8.5

8 0
3 years ago
Read 2 more answers
Other questions:
  • Keith Boards the train leaving Thomastown Station at 6:47 am. Between which two stations will this train be at 7:00 am?
    15·1 answer
  • What is the volume of a triangular prism that is 10cm long, 7 cm wide and 4 cm high
    7·1 answer
  • Binomial theorem Expand (5 - y)3
    6·1 answer
  • Identify the equation that describes the line in slope-intercept form. slope =1; y-intercept =1\3
    15·1 answer
  • Round 543,982 to the nearest thousand.
    11·2 answers
  • The equivalent expression for 16x + 46 + 8c
    14·1 answer
  • Ill mark brainllest if someone gets it right
    10·2 answers
  • For 0 < theta < 2pi, how many solutions are there to tan(theta/2) = sine(theta)? Note do not include values that are undef
    8·2 answers
  • Monica earned $60 from a bonus plus $8.50 per hour (h) she worked this week. Which of the following expressions best represents
    13·2 answers
  • What is the volume of the right rectangular prism?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!