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A vendor is using an 8 ft by 8 ft tent for a craft fair the legs of the tent are 9ft tall and the top forms a square pyramid with a height of 3 ft. What is the volume in cubic feet of space the tent occupies

Respuesta :

Answer: 640

Step-by-step explanation:

8 x 8 x 9 + 1/3 (8 x 8 x 3)

= 640  in cubic ft

vijayhalder031

The volume in cubic feet of space the tent occupies will be 640 cubic feet.

Cuboid and Square pyramid

  • Cuboid is a solid which has six rectangular faces at right angles to each other.
  • A square pyramid is a pyramid, in geometry, that has a square base and four lateral faces

How to solve this problem?

The steps are as follow:

  • Here there are two shapes are formed which are cuboid and square pyramid
  • The measures of Cuboid as follow:

Length = 8 ft.

Width = 8 ft.

height = 9 ft.

  • The measures of pyramid is as follow:

Length = width = 8 ft.

height = 3 ft.

  • Th volume of cuboid is as follow:

volume of cuboid = length x width x height

volume of cuboid = 8 x 8 x 9

volume of cuboid = 576 cubic ft

  • The volume of square pyramid is as follow:

volume of square pyramid = (length x length x height) / 3

volume of square pyramid = (8 x 8 x 3) / 3

volume of square pyramid = 64 cubic ft.

  • The total volume of space that tent occupies will be as follow:

volume of cuboid + volume of square pyramid = 576 + 64

Total volume of space = 640 cubic feet

So the volume in cubic feet of space the tent occupies will be 640 cubic feet

Learn more about Cuboid and Square pyramid here:

https://brainly.com/question/10042135

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