Question

If the area of three adjacent faces of a cuboid are $80{\text{cm}}^2,48{\text{cm}}^2$ and $60{\text{cm}}^2$. The volume of the cuboid is in $c{m}^2$ is

Answer 1

Cuboid is a three dimensional figure with $6$ rectangular faces.

A cuboid with all square faces is a Cube.

Let the length, breadth and height of the cuboid are $l$ cm,$b$ cm and $h$ cm

Then area of the adjacent rectangular faces are $lb,bh,hl$ $c{m}^2$

Now,

$lb=80$ ............... (1)

$bh=48$ ................ (2)

$hl=60$ .................. (3)

Multiplying (1), (2) and (3), we get

$lb\times bh\times hl=230400$

$(lbh{)}^2=230400$

$lbh=\sqrt{230400}=480$

Area of the cuboid $=l\times b\times h$

$=480c{m}^3$