chol6030
chol6030 chol6030
  • 04-02-2022
  • Mathematics
contestada

Find the volume of the composed figure.

Find the volume of the composed figure class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 04-02-2022

Answer:

  96 ft³

Step-by-step explanation:

The front face can be considered as a 5×10 rectangle with a 3×6 rectangle cut from it. Then its area is ...

  A = (5×10) -(3×6) = 32 . . . square feet

The volume of a prism of uniform cross section is ...

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

Our figure has a base area of 32 square feet and a height of 3 feet, so its volume is ...

  V = (32 ft²)(3 ft) = 96 ft³

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