Question

A cubic foot of water is poured into a rectangular aquarium with base $15$ in. by $18$ in. To what height in inches does the water rise?

• A. $6\frac{2}{5}$
• B. $6$
• C. $5\frac{3}{4}$
• D. $5\frac{1}{2}$
• E. $5$

Answer 1

The correct option is A $6\frac{2}{5}$

Volume of water$=1{\left(ft\right)}^3=1ft\times 1ft\times 1ft$

$1ft=12$ inch

Volime$={\left(12in\right)}^3=1728{in}^3$

Let water rises to height 'h'

$15\times 18\times h=1728$

$h=\frac{32}{5}inch=6\frac{2}{5}$ inch