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Sagot :

Answer:

  47.25 ft³

Step-by-step explanation:

The volume of the prism is given by the formula ...

  V = Bh . . . . . . . B is the area of the base, h is the height.

The height of the prism is given as 6 ft. The area of the base is the area of the triangular entrance. The formula for that area is ...

  A = 1/2bh . . . . . . b is the base, h is the height

Using the given values for the entrance base and height, we get ...

  A = 1/2(4.5 ft)(3.5 ft) = 7.875 ft²

Then the volume of the tent is ...

  V = (7.875 ft²)(6 ft) = 47.25 ft³

The tent volume is 47.25 cubic feet.