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
The point c(-3,-2)is translated 1 unit left and 2 units up.what are the coordinates of the resulting point,c
yarga [219]

translation makes this coordinate -4,0

7 0
2 years ago
The Square sand pit in park lot has an area of 16 ft. There is a rope along one side of the pit. How long is the rope?
slavikrds [6]

Answer:

ydhhh

Step-by-step explanation:

1)tiff

2)BBC

3)odds

4)Goss

4 0
3 years ago
If you were told to graph a function over the domain -1\leq x\leq 5−1≤x≤5 , identify what x-value we would start with and what x
xxMikexx [17]

Answer:

You would start with 00.-6 and stop a-5954

Step-by-step explanation:

8 0
3 years ago
What is the interval notation for the compound inequality? x≤−5 or x>4
Hoochie [10]

Answer:

(-\infty, -5] \cup (4,\infty)

Step-by-step explanation:

The symbol \cup is set notation for UNION--put two sets together into one set.

The first part of the interval notation describes x less than or equal to -5 -- notice the bracket symbol after -5, meaning include -5.

5 0
2 years ago
Subtract (8x + 9) - (6x - 1)
il63 [147K]

Answer:

=2x+10

Step-by-step explanation:

Let's simplify step-by-step.

8x+9−(6x−1)

Distribute the Negative Sign:

=8x+9+−1(6x−1)

=8x+9+−1(6x)+(−1)(−1)

=8x+9+−6x+1

Combine Like Terms:

=8x+9+−6x+1

=(8x+−6x)+(9+1)

=2x+10

Answer:

=2x+10

7 0
3 years ago
Other questions:
  • What is the value of 8+(27 divided by 9 ) square 2
    6·2 answers
  • Use the FOIL pattern to find the product.
    15·1 answer
  • (x+a)(x+b) cannot be written as?
    14·1 answer
  • Take away 3 from the product of 6 and m
    8·1 answer
  • Match the expressions with their simplified versions.
    14·2 answers
  • A plane makes a return journey across the Atlantic Ocean, a distance
    10·1 answer
  • If you are given the surface area of a square pyramid and the area of the base, how could you calculate the area of each side of
    5·1 answer
  • Please answer soon!!!
    6·2 answers
  • Elle ate 12 grapes. Riley ate 3 more grapes than Erica. How many grapes did both girls eat?​
    9·1 answer
  • There are 15 trees in a backyard. If 20% of the trees are oak, how many oak trees are there ?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!