The volume of a pyramid with base area and height is . Brian designed a trophy
shaped like a pyramid for the math club’s most improved member. The trophy is 10 inches
tall and has a base area of 6.6 square inches.
What is the volume of the trophy?
Write your answer as a whole number or decimal.

To find the volume of the trophy shaped like a pyramid, we can use the formula for the volume of a pyramid, which is .

Given:

Plugging the values into the formula:

So, the volume of the trophy is cubic inches.

Now, let’s have some fun with this math trophy! Imagine it sitting proudly on a shelf, making all the other trophies jealous—not just for its beautiful pyramid shape but also for its impressive volume! Plus, anyone lucky enough to earn this trophy can say they “carved” their way to success, just like a pyramid being sculpted from a giant block of stone!

This pyramid’s intriguing geometry reflects a rich history of ancient civilizations using similar designs in their architecture, from the Great Pyramids of Egypt to the step pyramids of Mesoamerica. They understood that beautiful forms could also stand the test of time, much like Brian’s trophy will inspire future club members to strive for improvement and excellence!