Question

A cube with sides 50 cm long sits on the bottom of an aquarium in which the water is one meter deep. (round your answers to the nearest whole number. use 9.8 m/s2 for the acceleration caused by gravity. remember that the density of water is 1000 kg/m3.)

Answer 1

To find the density of the polystyrene cube and the percentage of the cube remaining above water when a mass is added

Step-by-step explanation:

To find the density of the polystyrene cube, we can use the formula: density = mass/volume. Since 90% of the polystyrene floats above the surface of the water, we can calculate the volume of the submerged portion by multiplying the volume of the cube (10cm x 10cm x 10cm) by 10%. Then, we can use the formula to find the density of polystyrene using the mass and volume of the submerged portion.

To find the percentage of the cube that remains above water when a 0.5 kg mass is placed on it, we can calculate the new volume that gets submerged using the new mass and the density of water. Then, we can use the new submerged volume and the total volume of the cube to find the percentage.