Step-by-step explanation:
The volume of a cube is
where a is the side length,
Note: If you want to remember this formula, know that a cube is basically a bunch of squares stacked on one another vertically and horizontally
The area of a square with side length a, is
If we multiply that by the height of the cube, which is a.
That is the easy way to derive the formula of the volume of a cube.
Back on track, we know the volume so we must solve for a.
1.
Assuming you took algebra, to isolate the variable a, we must undo it being raised to the third power.
To do this, we take the cube root of both sides
![\sqrt[3]{125} = \sqrt[3]{a {}^{3} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B125%7D%20%20%3D%20%20%5Csqrt%5B3%5D%7Ba%20%7B%7D%5E%7B3%7D%20%7D%20)
The cube root of 125 is 5 so
5 cm
2.
![\sqrt[3]{8} = \sqrt[3]{ {a}^{3} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B8%7D%20%20%3D%20%20%5Csqrt%5B3%5D%7B%20%7Ba%7D%5E%7B3%7D%20%7D%20)
2 ft
3.
7 yd
4.
10 mm
5.
12 in. or 1 ft
6.
1 m
Answer:
y
= −
2
x + 3
Step-by-step explanation:
Hope this Helps
Answer: (3,-6)
Step-by-step explanation: Find the answer by finding the negative of the other number.
A kite is flying 12 ft off the ground and falls into a pool full of kids then kills them because casts a 5 ft shadow fund the length of the line
Answer:
Simplifying
5x + 12 = -13
Reorder the terms:
12 + 5x = -13
Solving
12 + 5x = -13
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + 5x = -13 + -12
Combine like terms: 12 + -12 = 0
0 + 5x = -13 + -12
5x = -13 + -12
Combine like terms: -13 + -12 = -25
5x = -25
Divide each side by '5'.
x = -5
Simplifying
x = -5
Step-by-step explanation:
