Question
Download Solution PDFIf one cubic metre of ice weighs 720 kg, then the weight of a cuboidal block of ice 50 cm in length is ：
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Density of ice = 720 kg/m3
Length of the cuboidal block = 50 cm = 0.5 m
Formula Used:
Weight of the block = Density × Volume
Volume of the cuboidal block = Length × Breadth × Height
Calculation:
Assume the breadth and height of the cuboidal block are equal, say x meters.
Volume of the block = 0.5 × x × x = 0.5x2
Weight = 720 × 0.5x2
Given that the weight of the cuboidal block is 90 kg:
⇒ 720 × 0.5x2 = 90
⇒ 360x2 = 90
⇒ x2 = 90 / 360
⇒ x2 = 0.25
⇒ x = √0.25 = 0.5 m
So, the dimensions of the cuboidal block are:
Length = 0.5 m, Breadth = 0.5 m, Height = 0.5 m
Weight of the block = Density × Volume
Volume = 0.5 × 0.5 × 0.5 = 0.125 m3
Weight = 720 × 0.125 = 90 kg
The weight of the cuboidal block is 90 kg (Correct Option: 4).
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