what is the weight of a cuboid block of ice of an edge 60 cm in length if one cubic meter of ice weighs 900 kg?
what is
(.6)(.6)(.6)(900) kg ?
194.4kg
To find the weight of the cuboid block of ice, you need to determine its volume and then multiply it by the weight of one cubic meter of ice.
Step 1: Calculate the volume of the cuboid block
The volume of a cuboid can be calculated using the formula:
Volume = length x width x height
Since the given block is a cuboid with the edge length of 60 cm, all three dimensions (length, width, and height) are equal to 60 cm. Thus:
Volume = 60 cm x 60 cm x 60 cm
Step 2: Convert the volume to cubic meters
The weight of one cubic meter of ice is given as 900 kg. However, the volume of the cuboid block is currently in cubic centimeters (cm³). To convert it to cubic meters (m³), divide the volume by 1,000,000 since there are 1,000,000 cm³ in a m³.
Volume (in m³) = (Volume in cm³) / 1,000,000
Step 3: Calculate the weight of the cuboid block
To find the weight of the cuboid block, multiply its volume in cubic meters (from step 2) by the weight of one cubic meter of ice (900 kg).
Weight = Volume (in m³) x Weight of one cubic meter of ice
Now you can substitute the values into the equation and calculate the weight:
Weight = (Volume in cm³ / 1,000,000) x 900 kg