Question

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

• A. $924c{m}^3$
• B. $1024c{m}^3$
• C. $1020c{m}^3$
• D. $1224c{m}^3$

Answer 1

The correct option is B $1024c{m}^3$

The composite object can be divided into three cuboids as shown in the figure below.


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

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

The second couboid 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 $=512+384+128$
$=1024c{m}^3$