1 Answer

Engo · Answer 1 · 2021-12-07T02:44:19+0000

Answer:

$V=63\ in^3$

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
$63\ in^3$

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