Question

What is the volume of the doorstep below

Answer 1

Answer:

$V=63\ in^3$

Step-by-step explanation:

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

#Volume triangular section:

$V=Base\ Area\times length\\\\Base\ Area=\frac{1}{2}bh\\\\=\frac{1}{2}\times 3\times 3\\\\=4.5\\\\\therefore V_t=4.5\times 6\\\\=27\ in^3$

#Volume rectangular section:

$V=lwh\\\\=3\times 2\times 6\\\\=36\ in^3\\\\\therefore V_r=36\ in^3$

#Total volume of the doorstep:

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

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