Answer:
301.54 cubic centimeters.
Step-by-step explanation:
Given:
The top of each fence post is a square pyramid.
The side length of the base of the fence top is 10.1 cm.
The height of the fence is 8.868 cm.
Question asked:
What is the volume of the post top ?
Solution:
First of all we will find base area of the fence then volume of post top (square pyramid)
Side length = 10.1 cm
As we know:
[tex]Area\ of\ square=(Side)^{2}[/tex]
[tex]=(10.1)^{2} =102.01\ cm^{2}[/tex]
Now
[tex]Volume\ of\ square\ pyramid=\frac{1}{3} \times base\ area\times height[/tex]
[tex]=\frac{1}{3} \times102.01\times8.868=\frac{904.62}{3} =301.54\ cm^{3}[/tex]
Thus, volume of the post top is 301.54 cubic centimeters.
