Geometry and Volume Concepts

This video tutorial covers various 7th grade math problems, including calculating the volume of a crystal using trapezoids, determining the volume of a cut rectangular prism, sketching triangles with specific side lengths, selecting equations that represent angle relationships, and calculating ingredient percentages in a punch mixture.

What is the shape of the crystal mentioned in problem number one?

• Cylinder

• Sphere

• Cube

• Prism

Which point is directly underneath Point E in the crystal?

• Point C

• Point A

• Point B

• Point D

How do you calculate the average length of two sides of a trapezoid?

• Subtract the shorter length from the longer

• Add the lengths and divide by 2

• Add the lengths

• Multiply the lengths

What is the area of the first trapezoid in the crystal's base?

• 8 mm²

• 41.5 mm²

• 25.5 mm²

• 16 mm²

What is the total area of the base of the crystal?

• 41.5 mm²

• 166 mm²

• 16 mm²

• 25.5 mm²

What is the volume of the crystal?

• 252 mm³

• 300 mm³

• 41.5 mm³

• 166 mm³

What are the dimensions of the rectangular prism in problem number two?

• 8 in by 15 in by 11 in

• 5 in by 13 in by 10 in

• 6 in by 12 in by 8 in

• 7 in by 14 in by 9 in

How is the volume of the red piece calculated?

• By multiplying 10 by 5

• By multiplying 12 by 5 and dividing by 2

• By adding 5 and 10

• By subtracting 1 from 13

What is the volume of the piece not pictured?

• 350 in³

• 300 in³

• 200 in³

• 250 in³

What is the volume of the entire rectangular prism?

• 300 in³

• 350 in³

• 400 in³

• 450 in³