Naming Geometric Solids & Choosing Volume Formulas

Naming Geometric Solids

Being able to correctly name a solid will be helpful when starting to find the volume of solids.

Multiple Choice

Name the solid.

• sphere

• circle

• polyhedron

• ball

Multiple Choice

Name the solid.

• pyramid

• circle

• triangle

• cone

Multiple Choice

Name the solid.

• pyramid

• circle

• triangle

• cone

Multiple Choice

Name the solid.

• pyramid

• prism

• rectangle

• sphere

Multiple Choice

Name the solid.

• cone

• prism

• rectangle

• cylinder

Multiple Choice

Name the solid.

• cylinder

• sphere

• circle

• prism

• cone

Multiple Choice

Name the solid.

• pyramid

• prism

• cylinder

• sphere

Multiple Choice

Name the solid.

• cylinder

• cone

• pyramid

• prism

Multiple Choice

Name the solid.

• triangle

• cone

• pyramid

• prism

Multiple Choice

Name the solid.

• rectangle

• cube

• pyramid

• prism

Multiple Choice

Name the solid.

• circle

• cone

• sphere

• cube

Multiple Choice

Name the solid.

• circle

• cone

• sphere

• triangle

Multiple Choice

Name the solid.

• circle

• prism

• cylinder

• rectangle

Multiple Choice

Name the solid.

• pyramid

• prism

• cylinder

• rectangle

Multiple Choice

Name the solid.

• pyramid

• prism

• triangle

• rectangle

Multiple Choice

Name the solid.

• square

• prism

• cylinder

• rectangle

Finding Volume of Solids

Now that you can name solids correctly, let's find out how to find the volume of them.

Formulas for finding Volume

Volume of Prisms

• V = BH

• B represents the AREA OF THE BASE ( you must be able to identify the shape of the base and be able to find its area)

• the shape of the base will be a  semicircle, a parallelogram, a triangle, or a complex figure made up of these

• H represents the HEIGHT OF THE SOLID (the height of a prism is the perpendicular distance between the two bases). Some sources use "h" instead of "H". I like to use "H" to differentiate between the height of a triangle (h) and the height of a solid (H).

Volume of Cylinder

Volume of a Pyramid

Volume of a Cone

Volume of a Sphere

Practice

We will practice finding volume in another Lesson, but now we will at least practice choosing the correct formula.

Multiple Choice

Which is the correct formula for finding the volume of the solids?

• $$V\ =\ BH$$

• $$V\ =\ \pi r^2H$$

• $$V\ =\ \frac{1}{3}BH$$

• $$V\ =\ \frac{1}{3}\pi r^2H$$

• $$V\ =\ \frac{4}{3}\pi r^3$$

Multiple Choice

Which is the correct formula for finding the volume of the solid?

• $$V\ =\ BH$$

• $$V\ =\ \pi r^2H$$

• $$V\ =\ \frac{1}{3}BH$$

• $$V\ =\ \frac{1}{3}\pi r^2H$$

• $$V\ =\ \frac{4}{3}\pi r^3$$

Multiple Choice

Which is the correct formula for finding the volume of the solid?

• $$V\ =\ BH$$

• $$V\ =\ \pi r^2H$$

• $$V\ =\ \frac{1}{3}BH$$

• $$V\ =\ \frac{1}{3}\pi r^2H$$

• $$V\ =\ \frac{4}{3}\pi r^3$$

Multiple Choice

Which is the correct formula for finding the volume of the solid?

• $$V\ =\ BH$$

• $$V\ =\ \pi r^2H$$

• $$V\ =\ \frac{1}{3}BH$$

• $$V\ =\ \frac{1}{3}\pi r^2H$$

• $$V\ =\ \frac{4}{3}\pi r^3$$

Multiple Choice

Which is the correct formula for finding the volume of the solid?

• $$V\ =\ BH$$

• $$V\ =\ \pi r^2H$$

• $$V\ =\ \frac{1}{3}BH$$

• $$V\ =\ \frac{1}{3}\pi r^2H$$

• $$V\ =\ \frac{4}{3}\pi r^3$$