The area of the base of the cube, b, is square units. the volume of the cube is cubic units. the height of each pyramid, h, is therefore, b = 2h. there are square pyramids with the same base and height that exactly fill the given cube. therefore, the volume of one pyramid is or 1/3 bh.

1-(b)(b)

2- (b)(b)(b)

3- b/2

4- 6

5- (1/6)(b)(b)(2h)

Step-by-step explanation:

The first is length * width which is b*b.

The second is b*b*b because that is how you find area.

The third is b/2 because each pyramid height is b/2 of h.

The fourth is 6 because that is how many pyramids can be made.

The fifth is 1/6*b*b*2h because there are six pyramids, two b's, and the hight is 2h.

for this case we have that by definition, the surface area of a cylinder is given by:

where:

r: it is the radius of the cylinder

h: it is the height of the cylinder

we can also rewrite it as:

where:

la: it's the lateral area

ba: area of the base

option a