Question

a rectangular prism has a height of 12 CM and a square base with sides measuring 5 cm High. Pyramid with the same base and a half of the height of the prism is placed inside the prison as a figure shown ​

Answer 1

The answer is "
`\bold{200 \ cm^3}`".

Step-by-step explanation:

The volume of rectangular prism V:

Formula:

`V= l * \ w * h\\`

where l is length, w is width, h is height.

Given values:

h =12 cm

w= 5 cm

It is defined that it is a square base, that's why all the sides are the same size.

`V1 =12 * 5 * 5\\\\V1= 300 \ cm^3\\\\ \ for \ V2 = (1)/(3) * l * w * h\\\\V2= (1)/(3) * 12 * 5 * 5\\\\V2 = (1)/(3) * 300 \\\\V2 = 100 \ cm^3\\\\`

To calculate the final volume of prism we subtract
`V1-V2`:

`V= V1-V2\\\\V= 300 -100\\\\V= 200 \ cm^3`