Question

Divide the composite figure into cuboids and calculate the total volume in $c{m}^3$.

• A. 1024

Answer 1

The correct option is A 1024
The composite object can be divided into three cuboids as shown in the figure below.



The first cuboid is of dimension
$16cm\times 8cm\times 4cm$

Therefore, its volume is $16\times 8\times 4=512c{m}^3$

The second cuboid is of dimension
$12cm\times 8cm\times 4cm$

So, the volume of this cuboid is $12\times 8\times 4=384c{m}^3$

And as the third cuboid is of dimension
$4cm\times 8cm\times 4cm$,
its volume is
$4\times 8\times 4=128c{m}^3$

Total volume $=512+384+128$
$=1024c{m}^3$