A block of wood is placed in a cup of water. The block has the following dimensions: L=10cm W=5cm H=4cm. If the block is 75% submerged, how much water has been displaced?
.75(10*5*4)
To determine how much water has been displaced by the block of wood, we need to calculate its volume and then multiply it by the percentage of the block that is submerged.
The volume of the block of wood can be calculated by multiplying its length (L), width (W), and height (H):
Volume of the block = L x W x H
= 10cm x 5cm x 4cm
= 200 cm³
Next, we need to find the volume of water being displaced. Since the block is 75% submerged, we can multiply the volume of the block by 75% (or 0.75) to find the volume of water displaced:
Volume of water displaced = Volume of block x 0.75
= 200 cm³ x 0.75
= 150 cm³
Therefore, the block of wood has displaced 150 cm³ of water.