Mathematics
A warehouse is a large building which, in general, is used to store goods. The dimensions of a warehouse vary with resepct to the goods to be stored.
The dimensions of a particular warehouse are 88 m × 66 m × 5.5 m. Its owner wants to fill it completely with identical cubical cartons of maximum volume.
(i) What is the largest cube size that can fit perfectly ?
(ii) What is the volume of the warehouse ?
(iii) What is the volume of the cubical carton ?
(iv) What is the maximum number of cartons that can be stored in the warehouse ?
Related Questions
The dimensions of a car petrol tank are 50 cm x 32 cm x 24 cm, which is full of petrol. If a car's average consumption is 15 km per litre, find the maximum distance that can be covered by the car.
The dimensions of a rectangular box are in the ratio 4 : 2 : 3. The difference between cost of covering it with paper at 12 per m2 and with paper at the rate of 13.50 per m2 is ₹ 1,248. Find the dimensions of the box.
Study the following picture of a study table made by Rohan for his SUPW project with match boxes of each dimension 6 cm by 4 cm by 1.5 cm.
Answer the following:
(i) How many match boxes are used to make the table ?
(ii) What is the floor are covered by the table ?
(iii) What is the surface area of the top of the table ?
(iv) What is the total volume of the table ?