The volume of a pyramid with a square base is 17.6 cubic centimeter.
Given the following data;
- Perimeter of base = 9.9 cm
- Height of pyramid = 8.6 cm
To find the volume of a pyramid with a square base;
Mathematically, the volume of a pyramid with a square base is given by the formula;
[tex]V = A(\frac{h}{3})[/tex]
Where;
- V is the volume of a pyramid with a square base
- A is the area of the square base.
- h is the height of the pyramid.
First of all, we would determine the length of sides of the square base from its perimeter;
[tex]Perimeter \ of \ square = 4s\\\\9.9 = 4s\\\\s = \frac{9.9}{4}[/tex]
s = 2.475 cm
Next, we would determine the area of the square;
[tex]Area \ of \ a\ square = s^{2} \\\\Area \ of \ a\ square = 2.475^{2}[/tex]
Area of a square = 6.126 cm
Now, we would use the above value to find the volume of a pyramid with a square base.
Substituting the values into the formula, we have;
[tex]V = 6.126*(\frac{8.6}{3})\\\\V = 6.126*2.867[/tex]
Volume, V = 17.6 cubic centimeter
Therefore, the volume of a pyramid with a square base is 17.6 cubic centimeter
Find more information here: https://brainly.com/question/16627760
