If a block is 12cm wide, 7cm long and 9 cm then how much of the block will be below the surfaceof the water if the block weights 500 grams?
What is the material of the block? Metal? Wood? Ice?
To determine how much of the block will be below the surface of the water, we need to calculate the volume of the block and then compare it to the buoyant force exerted by the water.
First, let's calculate the volume of the block. The volume of a rectangular solid can be found by multiplying its length, width, and height. In this case, the block is 12 cm wide, 7 cm long, and 9 cm high. Thus, the volume can be calculated as follows:
Volume = length × width × height
= 7 cm × 12 cm × 9 cm
= 756 cubic cm
Next, we'll calculate the weight of the block in terms of its equivalent volume of water. The weight of the block, in this case, is 500 grams. However, we need to convert it to cubic centimeters since the density of water is usually measured in grams per cubic centimeter.
For water, 1 cubic centimeter is equal to 1 gram. Therefore, the weight of the block in cubic centimeters is also 500.
Now, the volume of the block (756 cubic cm) represents its total displacement in the water. However, since only a portion of the block is submerged, the volume of water displaced will be equal to the portion submerged.
Therefore, to calculate the amount of the block below the surface of the water, divide the weight of the block (500 cubic cm) by the volume of the block (756 cubic cm):
Portion submerged = Weight of the block / Volume of the block
= 500 cubic cm / 756 cubic cm
Now you can calculate the portion submerged by dividing those two numbers.