A solid cube of unknown composition is seen floating upright in water with 30% of it above the surface. What is the density of the material?

I believe the answer is 0.70 g/cm^3.

Solution Summary

The mathematical solution is provided for the following question: A solid cube of unknown composition is seen floating upright in water with 30% of it above the surface. What is the density of the material?

Five solid objects made of different materials are placed in a tub of water. The objects are cubes made of wood, ice, aluminum, steel and gold.
All of the objects have the SAME mass. The objects are released and allowed to reach some equilibrium position. Note that some of the objects will float, while others will sink.
Whic

Imagine that you have a solid cube composed of Material X. You put the cube into a beaker filled with water. The cube sinks to the bottom of the beaker and sits there, at rest, on the bottom.
Which of the following statements are true? (Give ALL correct answers: B, AC, BCD, ... , or None)
A) The buoyant force on the cub

Calculate the inertia tensor of a homogeneous cube of mass M and density D and sides b. Let one corner be at the origin and the 3 sides lie along the coordinate axes.
Please show all work including the matrix expansion in detail...I need to see how the tensor equation is used to generate a moment of inertia.

This posting provides a general definition of density as well as two example to calculate density. The first example is based on finding the density of a cube by calculating the cube's volume. The second example is based on finding the density of an egg using the volume displacement method.

A block of wood floats in fresh water with forty percent of its volume submerged.
This block floats in oil with 93 percent of its volume submerged.
(a) Find Db, the density of the block.
(b) Find Do, the density of the oil.

1. Describe two different ways by which you could measure the volume of a small cube.
2. Which is more dense, lead or brass?
3. If the value occupied by a liquid 48mL and the density if 1.2g/mL, what is the mass of the liquid?
4. A recycling plant has chips of hight density poly(ethylene) (HDPE, d=0.92g.mL) used for pla

A beaker contains a thick layer of oil floating on water. A cubical block of wood is gently lowered into the beaker, so as not to disturb the layers of liquid, until it floats peacefully between the layers, as shown.
a) What is the distance between the top of the wood cube (after it has come to rest) and the interface between

Set up different integrals to find the mass of the solid bounded by the equations z=8-2x, z=0, y=0, y=3 and x=0. the density of the solid at (x,y,z) is d(x,y,z)=kx, k>0. evaluate ONE of the integrals. sketch the solid and the projected regions in each of the xy-, xz- and yz- planes.

Consider an object with height h, mass M, and uniform cross sectional area A floating upright in a liquid with density p.
a.) Calculate the vertical distance from the surface of the liquid to the bottom of the floating object at equilibrium.
b.) A downward force of magnitude F is applied to the top of the object. At the