Weight of a Cubical Block of Ice

To determine the weight of a cubical block of ice, we need to consider its dimensions and the weight of ice per unit volume.

Given:
Length of the cubical block = 50 cm

Weight of Ice per Unit Volume:
It is mentioned that one cubic meter of ice weighs 900 kilograms. To find the weight of ice per unit volume, we can convert the given weight to kilograms per cubic centimeter.

1 cubic meter = 100 cm * 100 cm * 100 cm = 1,000,000 cubic centimeters

Therefore, the weight of ice per cubic centimeter can be calculated as follows:
Weight of ice per cubic centimeter = 900 kilograms / 1,000,000 cubic centimeters = 0.0009 kilograms per cubic centimeter

Calculating the Volume of the Cubical Block:
Since the cubical block has equal sides, we can calculate its volume by using the formula:
Volume = Length * Width * Height

In this case, since all sides are equal, the formula simplifies to:
Volume = Length * Length * Length

Substituting the given length:
Volume = 50 cm * 50 cm * 50 cm = 125,000 cubic centimeters

Calculating the Weight of the Cubical Block:
To find the weight of the cubical block, we can multiply the volume of the block by the weight of ice per cubic centimeter.

Weight of the cubical block = Volume * Weight of ice per cubic centimeter
Weight of the cubical block = 125,000 cubic centimeters * 0.0009 kilograms per cubic centimeter

Calculating the above expression:
Weight of the cubical block = 112.5 kilograms

Conclusion:
The weight of a cubical block of ice with a length of 50 cm is 112.5 kilograms.

2250000 kg