Respuesta :

The volume is 48 cm.

The base length of a square pyramid given = 4 cm

The height given = 9cm.

We have to find the volume of the square pyramid.

The formula to find the volume of the square pyramid is

[tex] V = \frac{1}{3}a^2h [/tex]

Here a = 4 cm and h = 9 cm

To get the volume we will plug in the values of a and h here in the formula.

[tex] V = \frac{1}{3} (4)^2(9) [/tex]

[tex] V = \frac{1}{3} (16)(9) [/tex]

[tex] V = \frac{1}{3} (144) [/tex]

[tex] V = \frac{144}{3} [/tex]

[tex] V = 48 [/tex]

We have got the required answer.

The volume of the square pyramid = [tex] 48 cm^3 [/tex]