How do you find the base area of a rectangular prism and a cylinder?

See explanation.

Step-by-step explanation:

The 'base' of a rectangular prism refers to only one side of the rectangular prism, which is a rectangle.

The formula for the area of a rectangle is as follows:

Where A = area, l = length, and w = width.

The 'base' of a cylinder refers to only one side of the cylinder, which is a circle.

The formula for the area of a circle is as follows:

Where A = area and r = radius.

Just in case you typed your question incorrectly and were asking for surface area, here is the formula for surface area for both as well:

Rectangular prism:

Cylinder:

If HF = 6 units, then BF = 12 units.

Step-by-step explanation:

In ΔBCD, H is the centroid.

Given

We know that the centroid is the point of intersection of the medians of a triangle.

Centroid divides a median in a 2:1 ratio.

In other words, the location of the centroid lies at 2/3 of the distance from the vertex along the segment BF that connects the vertex to the midpoint of the opposite side.

so

HF = 1/2 BF

substituting HF = 6

6 = 1/2BF

BF = 12 units

Therefore, if HF = 6 units, then BF = 12 units.