Answer :

Answer:

  5000 ft³

Step-by-step explanation:

You want the volume of the larger of two similar pyramids whose edge length ratio is 10:1, when the volume of the smaller is 5 ft³.

Similar volumes

The ratio of the volumes of similar figures is the cube of the ratio of their scale factor.

  V/(5 ft³) = (10/1)³

  V = (5 ft³)(10³) = 5000 ft³

The volume of the larger pyramid is 5000 ft³.