Stassi is making a structure that is in the shape of a square pyramid. One of the side of the square base is 11 in. long and the volume of the pyramid is 605 in³. What is the height of the pyramid?

Respuesta :

The height of the pyramid is 15in

Answer:

Height of the pyramid is 15 in.

Step-by-step explanation:

Stassi is making a structure in the shape of a square pyramid.

One side of the square base is 11 in. and volume is given as 605 in³

We have to calculate the height of the pyramid.

Since volume of pyramid is represented by

V = [tex]\frac{1}{3}[/tex] [area of Base] × height.

Now we plug in the values in the formula

605 = [tex]\frac{1}{3}[/tex] [ 11 × 11 ] × h

h = [tex]\frac{605\times 3}{121}[/tex] = 15 in.

Therefore, height of the pyramid is 15 in.