Answer :
Final answer:
The box with a width of 4.00 m, length of 8.00 m, and a depth of 3.00 m will displace 64.00 cubic meters of water when it is submerged so that the top stays 1.00 m above the water surface.
Explanation:
To calculate the amount of water a rectangular box will displace, we need to determine its submerged volume.
According to the dimensions provided, the box is 4.00 m wide, 8.00 m long, and as the top stays 1.00 m above the water, only 2.00 m of its depth is submerged.
Therefore, the volume of the displaced water can be calculated by multiplying the dimensions of the submerged part of the box.
V = width × length × submerged depth
V = 4.00 m × 8.00 m × 2.00 m
V = 64.00 cubic meters
This is the volume of water the box will displace when submerged up to 1.00 m from the top.
