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Suresh is the owner of a godown which measures 20m x 24m x 10m.He wants to store thepackets of biscuits in the godown .Dimension of each packet of biscuit is 10cm x 15 cm x10cm.Hewants to put the packets of biscuits in some cubical storage boxes , each cubical boxhaving an edge of 2m.a. Find the total number of cubical storage boxes that can be fitted in godown?a. Suresh wants to cover each cubical box with a polythene sheet .He must know the exactquantity of polythene sheet, he should buy for this purpose. How much sheet is required tocover all cubical boxes?b. If a square shaped polythene sheet of area 4 𝑚2is available in market. Find the number ofsquare sheets required to cover all cubical boxes?

Question

Suresh is the owner of a godown which measures 20m x 24m x 10m.He wants to store thepackets of biscuits in the godown .Dimension of each packet of biscuit is 10cm x 15 cm x10cm.Hewants to put the packets of biscuits in some cubical storage boxes , each cubical boxhaving an edge of 2m.a. Find the total number of cubical storage boxes that can be fitted in godown?a. Suresh wants to cover each cubical box with a polythene sheet .He must know the exactquantity of polythene sheet, he should buy for this purpose. How much sheet is required tocover all cubical boxes?b. If a square shaped polythene sheet of area 4 𝑚2is available in market. Find the number ofsquare sheets required to cover all cubical boxes?

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Solution

a. To find the total number of cubical storage boxes that can be fitted in the godown, we first need to find the volume of the godown and the volume of each cubical box.

The volume of the godown is given by the product of its dimensions, which is 20m x 24m x 10m = 4800 cubic meters.

The volume of each cubical box is given by the cube of its edge length, which is 2m x 2m x 2m = 8 cubic meters.

Therefore, the total number of cubical storage boxes that can be fitted in the godown is the volume of the godown divided by the volume of each box, which is 4800 cubic meters / 8 cubic meters = 600 boxes.

b. To find the total amount of polythene sheet required to cover all cubical boxes, we first need to find the surface area of each cubical box.

The surface area of each cubical box is given by 6 times the square of its edge length, which is 6 x (2m)^2 = 24 square meters.

Therefore, the total amount of polythene sheet required to cover all cubical boxes is the surface area of each box times the number of boxes, which is 24 square meters x 600 boxes = 14400 square meters.

c. If a square shaped polythene sheet of area 4 square meters is available in the market, the number of square sheets required to cover all cubical boxes is the total amount of polythene sheet required divided by the area of each sheet, which is 14400 square meters / 4 square meters = 3600 sheets.

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