Inner dimensions of a wooden open box are 65cm,45cm,
30 cm and it is made of 2.5 cm thick wood . Find the capacity of the box .Find the weight of box in kg if 65cm cube wood weighs 9grams .
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Given : Length = 65 cm, Breadth = 45 cm, Height = 30 cm
Now the capacity of the box will be equal to the inner volume of the box
Hence, the inner volume(capacity) = (65 * 45 * 30) cm3 = 87750 cm3
Now it has been also given that the thickness of wood is 2.5 cm
Hence the outer length will be 65+(2.5 + 2.5) = 70 ........(since the thickness is from both sides of inner length)
Similarly the outer breadth will be 45+(2.5 +2.5) = 50 cm
& the outer height will be 30+(2.5 +2.5) = 35 cm
Hence the outer volume of the box will be = (70 * 50 *35) cm3 = 122500 cm3
Hence the volume of block used = (122500 - 87750)cm3 = 34750 cm3
Now 60cm3 of wood weighs = 9 gms
1cm3 of wood weighs = 9/60
114700cm3 of wood weighs =(9*34750) /60 = 5212.5 gms or 5.2125 kgs
So the inner capacity of box is 87750 cm3 and the weight of box is 5.2125 kgs
Now the capacity of the box will be equal to the inner volume of the box
Hence, the inner volume(capacity) = (65 * 45 * 30) cm3 = 87750 cm3
Now it has been also given that the thickness of wood is 2.5 cm
Hence the outer length will be 65+(2.5 + 2.5) = 70 ........(since the thickness is from both sides of inner length)
Similarly the outer breadth will be 45+(2.5 +2.5) = 50 cm
& the outer height will be 30+(2.5 +2.5) = 35 cm
Hence the outer volume of the box will be = (70 * 50 *35) cm3 = 122500 cm3
Hence the volume of block used = (122500 - 87750)cm3 = 34750 cm3
Now 60cm3 of wood weighs = 9 gms
1cm3 of wood weighs = 9/60
114700cm3 of wood weighs =(9*34750) /60 = 5212.5 gms or 5.2125 kgs
So the inner capacity of box is 87750 cm3 and the weight of box is 5.2125 kgs
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Farhan ne 65cm^3ke jagah 60cm^3 liya hai .correction Kar
Lena.
Lena.
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