Given a square pyramid with a height of 21 feet and a volume of 3969 cubic feet, find the length of one side of the square base.
Accepted Solution
A:
Answer:The length of one side of the square base is 24 feet.Step-by-step explanation:Given:Volume of square pyramid(V) = 3969 cubic feet, and its height(h) = 21 feet.Now, we need to find the length of one side(a) of the square base.So. by putting the formula of square pyramid we get our length of one side(a):[tex]V=a^{2}\frac{h}{3}[/tex][tex]3969=a^{2}\times \frac{21}{3}[/tex][tex]3969= a^{2}\times 7[/tex]Dividing both sides by 7 we get:[tex]567=a^{2}[/tex]Using square root both sides we get:[tex]23.81=a[/tex]a = 24 feet (approximately).Therefore, the length of one side of the square base is 24 feet.