Arectangular pyramid fits exactly on top of a rectangular prism. the prism has length 24 cm, width 3cm, and height 12 cm, and the pyramid has height 21 cm. find the volume of the composite space figure.

To solve this prolem you must apply the proccedue shown below:

 1. You must apply the formula for calculate the volume of a rectangular prism and the formula for calculate the volume of a rectangular pyramid:

 - Volume of the rectangular prism:

 V1=lwh

 Where l is the length, w i the width and h is the height

 V1=(24 cm)(3 cm)(12 cm)
 V1=864 cm^3

 - Volume of the rectangular pyramid:

 V2=lwh/3

 Where l is the length, w is the width and h is the height

 V2=(24 cm)(3 cm)(21 cm)/3
 V2=504 cm^3

 -The volume of the figure is:

 Vt=V1+V2
 Vt=1368 cm^3

 The answer is: 1368 cm^3

 

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