Question

The given figure shows the net of a cuboid with a square base. Find the volume of the cuboid.

Answer 1

Hint : Cuboid nets are laid 2D faces, the six of small nets wise equals it $x=\text{cm}$ and bigger side $y=\text{cm}$ (length). Use the volume of cuboid formula $=l\times b\times h$ to calculate the volume.

Complete step-by-step answer:

So, above fig:
$x+x+x+y+x=36$
$4x+y=36$ 1)
$x+y=21$ 2)
$3x=15\left(\because \text{subaction}\text{2)}\text{from}\text{1)}\right)$
$x=5$
Putting $x=5in2)$
$y=16$
y. is the length of cuboid, but according to question its base is of square. So both breadth$=\text{height}\text{ = }\text{x}\text{cm}$ as $x=5\text{and}y=16$
volume of cuboid will be $=l\times b\times h$
$=16\times 5\times 5$
$=400\text{c}{\text{m}}^3.$
Note : Always try to figure out the shape of net .As in this question its base is of square that’s why both height and breadth are equal.