Question

A liquid-filled glass pyramid is being erected as part of a museum attraction. The pyramid is designed to be 15 feet tall with a rectangular base that is 10 feet long and 6 feet wide. What is the total amount of liquid that the pyramid can hold?

Answer 1

Step-by-step explanation:

Given  

A liquid-filled glass pyramid is being erected as part of a museum attraction. The pyramid is designed to be 15 feet tall with a rectangular base  that is 10 feet long and 6 feet wide. What is the total amount of liquid that the pyramid can hold?

• Volume of pyramid V = 1/3 x base area x height
• Given length = 10 ft, width = 6 ft, height = 15 ft
• Now base area = length x width
•                        = 10 x 6  
•                        = 60 sq ft
• Volume of pyramid is V = 1/3 x 60 x 15
•                                        = 60 x 5
•                                   V = 300 cubic ft
• Therefore the pyramid can hold 300 cubic ft of liquid.