Respuesta :

The volume of the figure shown in the image which consist of two rectangular prisms is equal to 3300 cubed feet.

How to find the volume of the composite figures?

To find the volume of the composite figures,

  • Separate the figure.
  • Calculate the volume of the figure by which the composite figure is made of.
  • Add the volume of all the individual figures to get the total volume of composite figures

The given figure consist of two figures. Both are rectangular prism in which one has 24 ft length (20+4), width of 5 ft and height of 25 ft.

The area of a rectangular prism is the product of length, width and height of it. Thus, the volume of the upper prism is,

V₁=24×5×25

V₁=3000 ft³

Lower prism has 4 ft length, width of 3 ft (8-5) and height of 25 ft. Thus, the volume of this prism is,

V₂=4×3×25

V₂=300 ft³

Thus, the volume of the figure shown in image is,

V=3000+300

V=3300 ft³

Hence, the volume of the figure shown in the image which consist of two rectangular prisms is equal to the 3300 cubed feet.

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