Question

A rectangular cardboard sheet measures $48$ cm $\times$ $36$ cm. From each of its corners, a square of $8$ cm is cut off. An open box is made of the remaining sheet. The volume of the box is:

• A. $5120c{m}^3$
• B. $6400c{m}^3$
• C. $8960c{m}^3$
• D. $2560c{m}^3$

Answer 1

The correct option is A $5120c{m}^3$

Dimensions of rectangular sheet: $l=48cm,b=36cm$

After cutting a square of $8cm$ side from each corner of sheet, new dimension of box:

$l=48-8-8=32cm$

$b=36-8-8=20cm$

$h=8cm$

$\therefore$ Volume of the box$=32\times 20\times 8=5120c{m}^3$