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aleksandr82 [10.1K]
3 years ago
14

A rectangular pyramid fits exactly on top of a rectangular prism. The prism has length 24 cm, width 3cm, and height 12 cm, and t

he pyramid has height 21 cm. Find the volume of the composite space figure.
Mathematics
1 answer:
Llana [10]3 years ago
8 0
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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