How many cubic centimetres of iron are there in an open box whose external dimensions are 36 cm, 25 cm and 16.5 cm, the iron being 1.5 cm thick throughout? If 1 cubic cm of iron weighs 7.5 g. find the weight of the empty box in kg.

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Solution

The external dimensions of the box are 36 cm, 25 cm and 16.5 cm and the thickness of the iron sheet is 1.5 cm.
Therefore, internal dimensions of the box are (36-3)cm,
(25-3) cm and (16.5-3) cm.
i.e., 33 cm, 22 cm and 13.5 cm
$∴$ volume of the sheet =volume of external box -volume of internal box
$= 36 \times 25 \times 16.5 - 33 \times 22 \times 13.5$
$= 14850 - 9801 = 5049 c m^{3}$
Since, the weight of $1 c m^{3}$ of iron $= 7.5 g = \frac{7.5}{1000} k g$
Hence, the weight of the empty box $\frac{7.5}{1000} \times 5049 = 37.87$ kg.

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How many cubic centimetres of iron are there in an open box whose external dimensions are 36 cm, 25 cm and 16.5 cm, the iron being 1.5 cm thick throughout? If 1 cubic cm of iron weighs 15 g, find the weight of the empty box in kg.

Question 3
How many cubic centimetres of iron is required to construct an open box whose external dimensions are 36 cm, 25 cm and 16.5 cm provided the thickness of the iron is 1.5 cm. If one cubic cm of iron weighs 7.5 g, find the weight of the box.

Q. How many cubic centimetres of iron is required to construct an open box whose external dimensions are

36 c m, 25 c m

and

16.5 c m

provided the thickness of the iron is

1.5 c m

$How many cubic centimetres of iron are there in an open box whose external dimensions are 36 cm,25,cm and 16.5 cm,the iron being 1.5 cm thick throughout? If 1 c m^{3} of iron weighs 15 g, find the weight of the empty box in kilograms .$

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