3d shapes question. Which 2 shapes, 11 vertices, 17 edges, and 10 faces?

Question

Im trying to figure this one out for my kid and Im having difficulty. The full question is:

Caleb and Jared each have 1 shape. Together, they have 11 vertices, 17 edges, and 10 faces. What shaped does each one have?

This is a 3rd grade 3d shapes question in which Im stumped so Im reaching out.

Answer 1

Hi, Eric!

Those 3-D shapes can be kind of tricky! To help you solve this problem, create a table of different 3D shapes and their characteristics. That way, you can easily see what 2 shapes will have the sums you're looking for.

Cube Triangular Prism Triangular Pyramid Square pyramid

Vertices 8 6 4 5

Edges 12 9 6 8

Faces 6 5 4 5

When you do this, you can see that the cube (or rectangular prism) and the Triangular pyramid meet the criteria that you're looking for.

I'm so glad I could help! Next time, book me for some homework help!