Answer: 343 in³
Explanation: In this problem, we're asked to find the volume of a cube.
It's important to understand that a cube is a type of rectangular prism and the formula for the volume of a rectangular prism is shown below.
<em>Volume = length × width × height</em>
In a cube however, the length, width, and height are all the same. So we can use the formula side × side × side instead.
So the formula for the volume of a cube is side × side × side or s³.
So to find the volume of the given cube, since each side has a length of 7 inches, we can plug this information into the formula to get (7 in.)³ or (7 in.)(7 in.)(7 in).
7 x 7 is 49 and 49 x 7 is 343.
So we have 343 in³.
So the volume of the given cube is 343 in³.
Answer: 
Step-by-step explanation:
Having the following equation given in the exercise:

You can solve for "a" following this procedure:
1. You can apply the Subtraction property of equality and subtract
from both sides of the equation:

2. Now you must subtract the terms on the left side of the equation. Notice that the Least Common Denominator is "d". Then:

3. Finally, you can apply the Multiplication property of equality and multiply both sides of the equation by "b". So, you get:

Answer:
The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon. Plug the values of a and p in the formula and get the area.
Step-by-step explanation:
1. k+5=11
2. 7n=42
3. l+13=17
4. 10- p²=9
5. x²+y²=4