Question

Question 8

The surface area of the three coterminus faces of a cuboid are 6, 15 and $10c{m}^2$, respectively. The volume of the cuboid is
(a) $30c{m}^3$ (b) $40c{m}^3$ (c) $20c{m}^3$ (d) $35c{m}^3$

Answer 1

If l, b and h are the dimensions of the cuboid. Then,
Volume of the cuboid $=l\times b\times h$
Here, $6=l\times b$
$15=l\times h$
$10=b\times h$
$\therefore$ $6\times 15\times 10=l^2{b}^2{h}^2$
$\therefore$ $Volume=l\times b\times h$
$=\sqrt{6\times 15\times 10}=30c{m}^3$