Answer:
625 cm^3
Step-by-step explanation:
The weight of the wooden block is given by the equation:
Weight of block = density of liquid × volume of block × g
where g is the acceleration due to gravity (approximately 9.8 m/s²).
The buoyant force on the block when it is floating is equal to the weight of the block. So the buoyant force can be expressed as:
Buoyant force = density of liquid × volume above liquid × g
Since the block is floating, the weight of the block and the buoyant force are equal:
Weight of block = Buoyant force
Substituting in the given values:
density of liquid × volume of block × g = density of liquid × volume above liquid × g
Canceling out the g terms:
density of liquid × volume of block = density of liquid × volume above liquid
Dividing both sides of the equation by the density of the liquid:
volume of block = volume above liquid
Given that the volume of the block is 625 cm³, the volume above the liquid is also 625 cm³.