hernandezcarina0408
hernandezcarina0408 hernandezcarina0408
  • 23-01-2021
  • Mathematics
contestada

Find the volume, in cubic feet, of the composite solid below, which consists of a pyramid sitting on top of a cube. The pyramid has the same base as the cube.

Find the volume in cubic feet of the composite solid below which consists of a pyramid sitting on top of a cube The pyramid has the same base as the cube class=

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akposevictor
akposevictor akposevictor
  • 28-01-2021

Answer:

2,112 ft³

Step-by-step explanation:

Volume of composite solid = volume of pyramid + volume of cube

✔️Volume of square pyramid = ⅓(a²)*h

Where,

a = 12 ft

h = 8 ft

Plug in the values

Volume of pyramid = ⅓(12²)*8 = 384 ft³

✔️Volume of cube = a³

Where,

a = 12 ft

Plug in the value

Volume of cube = 1728 ft³

✔️Volume of composite solid = 384 + 1728 = 2,112 ft³

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