The density of water is 1 gram per cm3. An object floats in water if its density is less than water’s density, and it sinks if its density

is greater than water’s. Will a 1.17 gram pyramid whose base has

area 2 cm2 and whose height is 0.5 centimeters sink or float?

It will sink

Step-by-step explanation:

We first have to find the volume of the pyramid. Then, find the density and compare it to that of water.

The pyramid has a base area of and height is 0.5 cm. The volume of a pyramid is given as:

V = (a * h) /3

where a = base area and h = height of pyramid

Therefore:

V = (2 * 0.5) / 3 =

Density is given as:

D = mass / volume

The mass of the pyramid is 1.17 g.

Therefore:

Density = 1.17 / 0.33 = 3.54

Since its density is greater than that of water, it will sink.

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.