A small toy in the shape of a right pyramid with a square base is floating in a pool of water. The height of the pyramid is 5 inches. One-third of this height is above the surface of the water and two-thirds of it is below the surface of the water. The square cross section of the pyramid at the surface of the water has an area of 3.6 square inches. This cross section is parallel to the base. What is the volume, in cubic inches, of the portion of the pyramid that is above the water?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
icon
Related questions
Question
A small toy in the shape of a right pyramid with a square base is floating in a pool
of water. The height of the pyramid is 5 inches. One-third of this height is above
the surface of the water and two-thirds of it is below the surface of the water. The
square cross section of the pyramid at the surface of the water has an area of
3.6 square inches. This cross section is parallel to the base.
What is the volume, in cubic inches, of the portion of the pyramid that is above the
water?
The volume of the small toy floating above water is [a] cubic inches
Transcribed Image Text:A small toy in the shape of a right pyramid with a square base is floating in a pool of water. The height of the pyramid is 5 inches. One-third of this height is above the surface of the water and two-thirds of it is below the surface of the water. The square cross section of the pyramid at the surface of the water has an area of 3.6 square inches. This cross section is parallel to the base. What is the volume, in cubic inches, of the portion of the pyramid that is above the water? The volume of the small toy floating above water is [a] cubic inches
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Spheres
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning