Volume of Cubes and Spheres

The video tutorial covers Activity Three from Lesson Seven, focusing on comparing the volumes of cubes and spheres. It explains how to calculate the volume of a cube using the edge length and how to determine the volume of a sphere using a graph. The tutorial presents three problems: comparing volumes of a cube and sphere with the same edge length and radius, finding the radius of a sphere when its volume equals that of a cube, and comparing volume functions with specific inputs. The video emphasizes understanding the relationship between the volumes of cubes and spheres and using graphs to interpret these relationships.

What is the formula to calculate the volume of a cube if the edge length is given as 's'?

• s^2

• 3 * s

• s * s * s

• s + s + s

How do you determine the volume of a sphere using a graph?

• By calculating the circumference

• By reading the radius, moving up to the graph, and then over to the y-axis

• By reading the radius and using a formula

• By measuring the diameter

If a cube has an edge length of 3 units, what is its volume?

• 36 cubic units

• 18 cubic units

• 27 cubic units

• 9 cubic units

When the edge length of a cube is 5 units, what is the volume of the cube?

• 25 cubic units

• 150 cubic units

• 100 cubic units

• 125 cubic units

What is the approximate radius of a sphere if its volume is equal to that of a cube with an edge length of 5 units?

• 2.5 units

• 3.1 units

• 4.5 units

• 5.0 units

What is the volume of a sphere with a radius of 2 units?

• 32 cubic units

• 16 cubic units

• 8 cubic units

• 35 cubic units

What is the volume of a cube with an edge length of 2 units?

• 8 cubic units

• 10 cubic units

• 6 cubic units

• 4 cubic units

In the context of volume functions, what is the independent variable when calculating the volume of a sphere?

• Diameter

• Radius

• Surface area

• Volume

How many times greater is the volume of a sphere compared to a cube when both have the same radius and edge length?

• Five times

• Twice

• Three times

• Four times

What will be the focus of lesson 20 as mentioned in the video?

• Volume of cubes

• Volume of spheres

• Surface area of cubes

• Surface area of spheres