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
Katena32 [7]
3 years ago
5

A cube has a side length of x inches. What expression represents the total volume, in cubic inches, of the cube?

Mathematics
1 answer:
Pie3 years ago
8 0

Answer:

Volume = x^3 cubic inches

Step-by-step explanation:

A cube is the 3D version of a square. Since one side length is x inches, all the other side lengths are same, x inches each.

We know,

Volume = area of base * height

THe base is a square and the area is side * side. We know each side is x, so we have:

Area of Square = Area of Base = x * x = x^2

Now, we know height is also same side length, x, thus the volume becomes:

Volume = area of base * height

Volume = x^2*x

We add the exponents when we have same base multiplied, so the expression for volume becomes:

Volume = x^2*x=x^3

You might be interested in
Can someone explain (with steps) how to rationalize the following expression?
insens350 [35]
F(x)=(-2/((x+y-2)^(1/2))-(x+y+2)^(1/2)
the only irrational part of this expression is the (x+y-2)^(1/2) in the denominator, so, to rationalize this, you multiply the numerator and denominator by the denominator, as well as the other parts of the expression
also, you must multiply the -sqrt(x+y+2) by sqrt(x+y-2)/sqrt(x+y-2) to form a common denominator
(-2)/(x+y-2)^(1/2)-(x+y+2)^(1/2)(x+y-2)^(1/2)/(x+y-2)^(1/2)
(common denominator)
(-2-(x^2+xy+2x+xy+y^2+2y-2x-2y-4))/(x+y-2)^(1/2)
(FOIL)
(-2-x^2-y^2-2xy+4)/(x+y-2)^(1/2)
(Distribute negative)
(-x^2-y^2-2xy+2)/(x+y-2)^(1/2)
(Simplify numerator)
(-x^2-y^2-2xy+2)(x+y-2)^(1/2)/(x+y-2)^(1/2)(x+y-2)^(1/2)
(Rationalize denominator by multiplying both top and bottom by sqrt)
(-x^2-y^2-2xy+2)((x+y-2)^(1/2))/(x+y-2)
(The function is now rational)
=(-x^2-y^2-2xy+2)(sqrt(x+y-2))/(x+y-2)
6 0
3 years ago
Write the equation of line in slope-intercept form :Line parallel to the y-axis that passes through the point (77,88) PLZ HELP
sammy [17]

A line parallel to the y-axis that passes through (77,88) is x = 77.  There is no slope-intercept form of this equation if our coordinate system is based upon a horizontal x-axis and a vertical y-axis.

6 0
3 years ago
PLEASE ANSWER!! is it a, b, c or d!?
denis-greek [22]

Answer:

<h3>C. </h3>

Step-by-step explanation:

<h2>To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of </h2><h2>To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b</h2><h2 /><h2>Carry on learning </h2>

4 0
2 years ago
What is the sum of the first five terms of a geometric series with a1 = 6 and r = 1/3? Express your answer as an improper fracti
Likurg_2 [28]

Answer:

  242/27

Step-by-step explanation:

Using the formula for the sum, you can fill in the given values and do the arithmetic.

  Sn = a1·(r^n -1)/(r -1)

  S5 = 6·((1/3)^5 -1)/(1/3 -1) = 6(-242/243)/(-2/3) = 6·(121/81)

  S5 = 242/27

_____

Or, you can write the terms and add them up. The sum is ...

  6 + 2 + 2/3 + 2/9 + 2/27 = (162 +54 +18 +6 +2)/27 = 242/27

5 0
3 years ago
The graph below shows the cost of pens based on the number of pens in a pack. What would be the cost of one pen?
MaRussiya [10]
The answer would be B. $1.75
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the product (6r-1)(-8r-3)
    14·2 answers
  • A tortoise is walking in the desert. It walks at a speed of 7 meters per minute for 87.5 meters. For how many minutes does it wa
    8·1 answer
  • On a birthday cake, 1/3 of the icing was orange and another 1/3 was white. What fraction of the birthday cake was either orange
    12·2 answers
  • What is the nearest hundred of 403.12
    12·1 answer
  • The time between a lightning flash and the following thunderclap may be used to estimate, in kilometers,
    11·1 answer
  • Slove by using elimination <br> 3x+7y=27 <br> -3x+y=21
    9·1 answer
  • 1. Los alumnos de 4º de ESO quieren hacer un viaje de fin de curso. Para ello deciden vender camisetas en el colegio. Compran 20
    12·1 answer
  • What quadrant is the<br> ordered pair (2,-3) in?
    7·2 answers
  • Which one doesn't belong why?
    10·1 answer
  • How many solutions does the nonlinear system of equations graphed below
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!