Question

The internal dimensions of a box are 1.2m, 80 cm and 50 cm. How many cubes each of edge 7 cm can be packed in the box with faces parallel to the sides of the box. Also, find the space left empty in the box.

• A. 1229; 31,283 $c{m}^3$
• B. 1309; 31,013 $c{m}^3$
• C. 1169; 31,163 $c{m}^3$
• D. none of the above

Answer 1

Answer: (B)

1309; 31,013 $c{m}^3$

Volume of box is $1.2m\times 80cm\times 50cm=0.48m^3$

no of box that can be put is $[\frac{120}{7}]\times [\frac{80}{7}]\times [\frac{50}{7}]=17\times 11\times 7=1309,$ $[.]$ represents greatest integer function

Volume left is $0.48m^3-1309\times (0.07{)}^3=31,013c{m}^3$