A metal block of length 4cm breath 3cm height 2.5cm weight 500gm what is the mass of a block of length 5cm breath 4cm made of same metal
you forgot height
To find the mass of a block of the same metal with different dimensions, we need to calculate the volume of the new block and then use the density of the metal to determine the mass.
First, let's calculate the volume of the original block:
Volume = length × breadth × height = 4 cm × 3 cm × 2.5 cm = 30 cm³
Next, let's find the density of the metal. Density is defined as mass divided by volume.
Density = mass / volume
We are given that the weight of the original block is 500 grams. However, weight is different from mass. We need to convert the weight to mass using the gravitational acceleration, which is approximately 9.8 m/s².
Mass = Weight / Gravitational Acceleration = 500 g / 9.8 m/s² = 51.02 grams (approximately)
Now, we can calculate the density:
Density = Mass / Volume = 51.02 g / 30 cm³ = 1.70 g/cm³
Finally, let's find the mass of the new block of length 5 cm, breadth 4 cm, and the same density:
Volume of the new block = length × breadth × height = 5 cm × 4 cm × 2.5 cm = 50 cm³
Mass of the new block = Density × Volume = 1.70 g/cm³ × 50 cm³ = 85 grams
Therefore, the mass of the block with dimensions 5 cm × 4 cm made of the same metal is 85 grams.