A square pyramid with volume 92,100 m³ is dilated with a factor of 15 . What is the volume of the image? Express your answer to

Question

3 years ago

9

the nearest whole unit. Enter your answer in the box.

1 answer:

VashaNatasha [74] · Answer 1 · 2022-04-12T01:56:05+03:00

Answer:

310 837 500 m³

Step-by-step explanation:

The l<em>inear dilation factor</em> (LDF) is 15.

The equation for the <em>volume dilation facto</em>r (VDF) is

VDF = LDF³

VDF = 15³ = 3375

V' = VDF × V

V' = 3375 × 92 100 = 310 837 500 m³

The volume of the dilated pyramid is 310 837 500 m³.