Question

Suppose a similar rectangular pyramid to the one shown has a scale factor of 23
. What would be the volume of the new pyramid?

(1 point)
Responses

3,285.33 ft.^3
3,285.33 ft. cubed

1,460.15 ft.^3
1,460.15 ft. cubed

2,190.22 ft.^3
2,190.22 ft. cubed

182.52 ft.^3

Answer 1

Scale factor (linear) = 2/3, so volume scale = (2/3)^3 = 8/27.
New volume = original volume × 8/27 = 11,088 × 8/27 = 3,285.33 ft^3.

So the correct choice is 3,285.33 ft^3.