Question

500 boxes of dimension 30 cm by 20 cm by 20 cm are required for packing some books. How much
of cardboard will have to be used for the same?​

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Dimensions of 1 box = 30cm x 20cm x 20cm

No. of boxes required = 500

The box is a cuboid with :-

• length(l) = 30 cm
• breadth(b) = 20 cm
• height(h) = 20 cm

Total Surface Area of a cuboid (TSA)=  2 (lb + bh + lh) square units

(The total surface area of a cuboid is required here to find out the amount of cardboard used for making a box. Since, the cardboard will form the surface of the box its amount will be equal to the surface area of the box)

TSA of the box = 2 x (30 x 20 + 20 x 20 + 30 x 20)

= 2 x (600 + 400 + 600)

= 2 x (1600)

= 3200 sq. cm

For 1 box amount of cardboard required = 3200 sq. cm

For 500 boxes amount of cardboard required = 3200 x 500

= 16,00,000 sq. cm

Converting 16,00,000 sq cm to sq. m :-

16,00,000 / (100 x 100)

= 160 sq. m

The amount of cardboard required for making 500 boxes is 160 sq. m. (Ans