The pyramid at the Louvre has a square base with a side of and a height .

The Great pyramid in Egypt has a square base with a side of and a height of .

The expression for the volume of pyramid is .

Where is the area of the base and is the height.

a.

Draw the pyramids and label dimensions:

b.

Let the side of the square of pyramid at the Louvre be .

Base area is .

Let the side of the square of Great pyramid in Egypt be .

Base area is .

Let , ,  and .

Write verbal expression for the volume of pyramid:

The volume of the pyramid is .

Difference of volumes of two pyramids are .

.                   (Substitute and )

Substitute , ,  and .

The verbal expression of the volume of pyramid:

One third times squared times minus One third times squared times .

c.

Find the volume of difference:

An expression of the volume of the pyramid is

                                                     (Orginal equation)

Substitute , ,  and .

    (Substitute, )

                     (Multiply)

                                  (Simplify)

                              (Simplify)

The difference of the volume of pyramid is .

a. Diagrams of two pyramids:

b.

One third times squared times minus One third times squared times .

c. The difference of the volume of pyramid is .