an ice sculpture in the shape of a square pyramid was in the shape of a cube before it was created as shown below.

if s=2.7 yards what is the volume of the ice sculpture
A:2.187 cu yd
B. 19.683 cu yd
C. 9.8425 cu yd
D. 6.561 cu yd​

Respuesta :

Answer:

The volume of the ice sculpture  is 6.561 cu yd​.

Step-by-step explanation:

Given:

The shape of the ice sculpture is square pyramid

The Side length = 2.7 yards

To Find:

The volume of the ice sculpture = ?

Solution:

The volume of the square pyramid  V = [tex]a^2 \frac{h}{3}[/tex]

where a is the side length

h is the height

Here the height and the side are of same length as they are square pyramid

On Substituting the values, we get

V  = [tex](2.7)^2 (\frac{2.7}{3})[/tex]

V =  [tex](2.7)^2 (0.9)[/tex]

V = (7.29)(0.9)

V =  6.561 Cubic yards