Amole of marbles would cover the continental u. s. to a depth of how much?

About 280 km

Explanation:

Assumptions: The diameter of a marble is 1.6 cm. The area of the continental U.S. is 8.08 × 10⁶ km²

1. Find the footprint area of a marble

A marble will fit into a square 1.6 cm on each side.

A = l² = (1.6 cm)² = 2.56 cm²

2. Convert the area of the continental U.S. into square centimetres

(a) Convert to square metres

(b) Convert to square centimetres

3. Calculate the number of marbles to make one layer.

4. Calculate the number of layers needed for Avogadro's number of marbles

Assume the marbles will stack on top of each other like sugar cubes.

5. Calculate the height of the layers

However, the marbles aren't cubes; they are spheres. Each layer of marbles will slide into the "dimples" of the layer below, like packing oranges into a crate.

The effective height of each layer decreases by about 10 %.

The height of the stack will be about 280 km. That's approximately the straight-line distance from Boston to New York.

The density of water is 1 g/cm cubed and in order for the pebble to sink its density has to be greater than the density of water and in order for the twig to float its density has to be less than the density of water

Answer246 k;