The formula for the volume of a square pyramid is
V = (b2h) - 3, where b is the length of one side of the
square base and h is the height of the pyramid. Find the
length of a side of the base of a square pyramid that has
a height of 3 inches and a volume of 25 cubic inches.

Respuesta :

Answer:

5 inches

Step-by-step explanation:

The volume of the square pyramid is given by:

[tex]V=\frac{b^2h}{3}[/tex]

where b is the length of one side of the

square base and h is the height of the pyramid.

The height is given as h=3 inches and volume, V=25 cubic inches.

We substitute and solve for b

[tex]25=\frac{b^2*3}{3}[/tex]

[tex]\implies b^2=25[/tex]

Take principal square root to get:

[tex]b=\sqrt{25}[/tex]

[tex]b=5[/tex] inches.

Hence the length of a side is 5 inches.