Question

A wooden box of dimensions $8m\times 7m\times 6m$ is to carry rectangular boxes of dimensions $8cm\times 7cm\times 6cm$. The maximum number of boxes that can be carried in the wooden box, is:

• A. $9800000$
• B. $7500000$
• C. $1000000$
• D. $1200000$

Answer 1

The correct option is C $1000000$

Both boxes are in the shape of a cuboid.

Volume of a cuboid of length l, breadth b and height h $=l\times b\times h$.

Considering all the measures in cm, number of boxes that can be carried in the large wooden box

$=\frac{Volumeofthewoodenbox}{Volumeofonerectangularbox}=\frac{800\times 700\times 600}{8\times 7\times 6}=1000000$