ANSWER
The height of the square pyramid is 4.8m
EXPLANATION
The volume of a square pyramid is calculated using the formula:
[tex]Volume = \frac{1}{3}(base \: area) \times height[/tex]
It was given that;
The volume of the square pyramid is
[tex]25 \frac{3}{5} {m}^{3} [/tex]
The side length of the square base is
[tex]4m[/tex]
We substitute the given values and then solve for the height.
[tex]25 \frac{3}{5} = \frac{1}{3}( {4}^{2} ) \times height[/tex]
We solve for the height to obtain;
[tex]height = \frac{25 \frac{3}{5} }{ \frac{16}{3} } [/tex]
We simplify to get;
[tex]height = 4.8m[/tex]
Hence, the height of the square pyramid is 4.8 meters.
