Question

The internal length, breadth and height of a box are $30$ cm, $24$ cm and $15$ cm. Find the largest number of cubes that can be placed inside this box if the edge of each cube is $5$ cm.

• A. $70$
• B. $86$
• C. $71$
• D. $73$

Answer 1

The correct option is B $86$

Volume of box $=30\times 24\times 15=10800{cm}^3$

Volume of 1 cube of edge 5cm $={\left(5\right)}^3{cm}^3=125{cm}^2$

Number of cubes $=\frac{Volumeofbox}{Volumeof1cube}=\frac{10800}{125}=86.4\approx 86$

number of cubes which can be placed inside the box are $86$.