Question

Find volume of the cuboid of edge length $3pq,2p{q}^2$ and $(3p+2q)$.

• A. $12p^3{q}^3+18p^2{q}^5$
• B. $18p^3{q}^3+12p^2{q}^4$
• C. $18p^3{q}^3+12p^2{q}^5$
• D. $18p^3{q}^2+12p{q}^5$

Answer 1

Answer: (B)

$18p^3{q}^3+12p^2{q}^4$

Volume of the cuboid $=l\times b\times h=3pq\times 2p{q}^2\times (3p+2q)$
$=6p^2{q}^3\times 3p+6p^2{q}^3\times 2q$
$=18p^3{q}^3+12p^2{q}^4$