a metal block of length 4cm ,breadth 3cm and height 2.5 weighs 500g.what is the mass of a block of length 5cm,breadth 4cm made of the same metal.
The weights will be in the same ratio as the volumes. You omitted the height of the second block. It is needed.
6.0 lengt 3.2 width volume 96 what is the height
A metal block of volume length 4cm ,breath 3cm height 2.5cm weight 500g what is the mass of a block of length 5cm breadth 4cm of same metal
1 kg
To find the mass of the block with different dimensions but made of the same metal, we can use the concept of density. The density is defined as mass per unit volume.
First, we need to calculate the volume of the initial block of metal using the formula:
Volume = length × breadth × height
Substituting the given values:
Volume = 4 cm × 3 cm × 2.5 cm
Volume = 30 cm³
Next, we can calculate the density of the metal using the formula:
Density = mass / volume
Substituting the given mass (500g) and the volume we just calculated:
Density = 500g / 30 cm³
Density ≈ 16.67 g/cm³
Now, to find the mass of the block with different dimensions but made of the same metal, we need to calculate its volume first.
Volume = length × breadth × height
Volume = 5 cm × 4 cm × 2.5 cm
Volume = 50 cm³
Finally, we can calculate the mass of the block using the formula:
Mass = density × volume
Substituting the density we calculated and the volume we just calculated:
Mass = 16.67 g/cm³ × 50 cm³
Mass ≈ 833.5 g
Therefore, the mass of the block with dimensions 5cm × 4cm × 2.5cm made of the same metal is approximately 833.5 grams.