The side length of the cube is 5 cm. Find the volume of the cube.
2 answers:
Answer:
125 cm³
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
<u>Geometry</u>
Volume of a Cube Formula: V = a³
<em>a</em> is a side length Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>a</em> = 5 cm
<u>Step 2: Find Volume</u>
Substitute in variables [Volume of a Cube Formula]: V = (5 cm)³ Evaluate exponents: V = 125 cm³
Answer:
Step-by-step explanation:
The formula of a volume of a cube with edge :
We have .
Therefore the volume is:
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First, we calculate the slope of the line using: slope = (y₂ - y₁)/(x₂ - x₁) = (4 - (-5)) / (-5 - (-7)) = 9/2 Point slope form: y - y₁ = m(x - x₁) y + 5 = 9/2 x (x + 7) Simplifying to standard form: 2y + 10 = 9x + 63 -9x + 2y = 53 Thus, the answer is C