Abuilding in the shape of a square pyramid is being built in las vegas. the height of the building will be 309 feet, and a size of the base measures 250 feet. the scale model that is displayed at a convention is one fifthieth the size of the actual building. what is the volume of the scale model, rounded to the nearest tenth. show work!

51.5 cubic feet.

Step-by-step explanation:

Since,  The height of the building will be 309 feet, and a size of the base measures 250 feet.

And, we know that the volume of the square pyramid =

Here, size of the base of the square pyramid = 250 feet.

And, height = 309 feet.

Therefore, the volume of the given square pyramid,

⇒

⇒ = 6437500 cubic feet.

Again according to the question,

The scale model that is displayed at a convention is one fiftieth the size of the actual building.

Therefore, Volume of the scale model = the volume of the given square pyramid/125000

= 6437500/125000= 51.5 cubic feet.

Thus, the volume of the scale model is  51.5 cubic feet.