7th and 8th Grade Geometry: Volume of Prisms and Pyramids

This video tutorial covers the concept of volume in geometry, focusing on prisms and pyramids. It begins with an introduction to volume, explaining how to calculate the space occupied by three-dimensional shapes. The tutorial then delves into the specific formulas for finding the volume of rectangular and triangular prisms, as well as pyramids. Examples are provided to illustrate the application of these formulas. The video concludes with a review of the key concepts and a reminder of the formulas needed for state testing.

What is the main topic discussed in this video?

• Surface area of spheres

• Volume of prisms and pyramids

• Perimeter of polygons

• Angles in triangles

Which grade level primarily deals with cylinders, cones, and spheres?

• 9th grade

• 6th grade

• 7th grade

• 8th grade

What is the general formula for the volume of any prism?

• Base area times height

• Base area times height divided by 3

• Length times width times height

• Base area times height divided by 2

Which formula is specific to rectangular prisms?

• Base area times height divided by 2

• Length times width times height

• Base area times height divided by 3

• Base area times height

How do you calculate the volume of a rectangular prism with dimensions 8 inches, 3 inches, and 16 inches?

• 8 + 3 x 16

• 8 x 3 + 16

• 8 x 3 x 16

• 8 + 3 + 16

What is the volume of a rectangular prism with a base area of 24 square inches and a height of 16 inches?

• 48 cubic inches

• 192 cubic inches

• 240 cubic inches

• 384 cubic inches

What is the height of the triangular prism in the example?

• 3 meters

• 7 meters

• 2 meters

• 9 meters

How do you find the area of the base of a triangular prism?

• Base times height

• Base times height divided by 3

• Base times height divided by 2

• Length times width times height

What is the volume formula for any pyramid?

• Base area times height

• Base area times height divided by 4

• Base area times height divided by 2

• Base area times height divided by 3

How is the volume of a pyramid similar to the volume of a cone?

• Both use the formula base area times height divided by 3

• Both use the formula base area times height divided by 2

• Both use the formula base area times height

• Both use the formula base area times height divided by 4