Question

What is the volume of the doorstep below

Answer 1

`V=63\ in^3`

Explanation:

-The total volume will be the sum of the volumes of the triangular section plus the rectangular section.

#Volume triangular section:

`V=Base\ Area* length\\\\Base\ Area=(1)/(2)bh\\\\=(1)/(2)* 3* 3\\\\=4.5\\\\\therefore V_t=4.5* 6\\\\=27\ in^3`

#Volume rectangular section:

`V=lwh\\\\=3* 2* 6\\\\=36\ in^3\\\\\therefore V_r=36\ in^3`

#Total volume of the doorstep:

`V=V_t+V_r\\\\=27+36\\\\=63\ in^3`

Hence, the doorstep's volume is
`63\ in^3`