Question

Please answer the question below :)

Answer 1

The volume outside the pyramid but inside the prism is 250 cubic centimeters.

Explanation:

Step 1:

First, we determine the volumes of the rectangular prism and the pyramid.

The volume of a rectangular prism is calculated by multiplying its length, its width, and its height.

The length and width are both 5 cm while the height is 12 cm.

The volume of the rectangular prism
`= (5)(5)(12) = 300`.

The volume of the prism is 300 cubic centimeters.

Step 2:

The volume of a square pyramid is given by
`V = a^(2) (h)/(3)`, where a is side length and h is the height of the pyramid.

The height of the pyramid is half of the prism, so
`h = 6` cm and
`a=5` cm.

The volume of the pyramid
`= 5^(2) ((6)/(3) ) = 50.`

The volume of the pyramid is 50 cubic centimeters.

Step 3:

The volume outside the pyramid but inside the prism
`=300 - 50 = 250.`

The volume is 250 cubic centimeters.