Solid geometry

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/solid-geometry

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the discipline?Solid geometry (stereometry) is the branch of geometry that studies three-dimensional figures
2. What is the historical development?Roots in ancient Greek mathematics (Euclid's Elements), significantly advanced by calculus
3. Why do we study solid geometry?It lets us calculate how much space a shape takes up, how much surface it has, and helps engineers, architects, and scientists design safe and efficient things.
4. How do we find the volume of a sphere?For a sphere, you use its radius. The formula is 4/3 π r³, which gives the amount of space inside the ball.

Polyhedron: A solid in three dimensions with flat polygonal faces, straight edges, and sharp corners or vertices.
Solid of Revolution: A three-dimensional shape created by rotating a two-dimensional shape around a single axis.
Volume: The amount of three-dimensional space occupied by a solid figure.