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Consider the cube below. The top most point of the pyramid ( also called the apex ) is at the center of the cube. What is the volume of the square pyramid inside the cube? Round your answer to the nearest tenth.

Consider the cube below The top most point of the pyramid also called the apex is at the center of the cube What is the volume of the square pyramid inside the class=

Respuesta :

calculista

Answer:

The volume of the square pyramid inside the cube is [tex]85.3\ cm^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the square pyramid is equal to

[tex]V=\frac{1}{3}Bh[/tex]

where

B is the area of the square base of the pyramid

h is the height of the pyramid

Find the area of the square base B of the pyramid

[tex]B=8^{2}=64\ cm^{2}[/tex]

we have

[tex]h=H/2=8/2=4\ cm[/tex]

substitute the values

[tex]V=\frac{1}{3}(64)(4)=85.3\ cm^{3}[/tex]

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