Exploring Unit Eleven: Pages 9-10 Concepts

The video tutorial introduces the concept of volume, focusing on three-dimensional shapes. It explains how to calculate the volume of rectangular prisms, other prisms, and cylinders. The tutorial also covers real-world applications of volume calculations, such as determining the right size of air conditioning units for a house or calculating the time needed to fill a pool. The video emphasizes the importance of understanding the base area and height in volume calculations and provides examples to illustrate these concepts.

What is volume used to measure in a three-dimensional object?

• The amount of space the object occupies

• The weight of the object

• The surface area of the object

• The length of the object

Which formula is used to calculate the volume of a rectangular prism?

• 2 * (Length + Width + Height)

• Length * Width

• Length * Width * Height

• Length + Width + Height

In a rectangular prism, what are the bases?

• Any two opposite faces

• The two congruent polygons

• The two smallest faces

• The two largest faces

How do you find the volume of a triangular prism?

• Base area * Height / 3

• Base area * Height * 2

• Base area * Height / 2

• Base area * Height

What is the area of the base of a trapezoidal prism if the bases are 15 and 18, and the height of the trapezoid is 4?

• 99

• 66

• 33

• 132

What is the formula for the volume of a cylinder?

• πr^2 / Height

• πr * Height

• 2πr * Height

• πr^2 * Height

If the radius of a cylinder is 7 and the height is 11, what is the volume?

• 539π

• 231π

• 77π

• 154π

How do you calculate the volume of a triangular prism with a base area of 12 and a height of 14?

• 12 * 14

• 12 + 14

• 12 / 14

• 12 - 14

What is the volume of a cylinder with a diameter of 2 cm and a height of 14 cm?

• 4π

• 14π

• 56π

• 28π

How many hours will it take to fill a pool with a volume of 729π cubic feet using a hose with a flow rate of 80 cubic feet per hour?

• 36.45 hours

• 28.63 hours

• 9.11 hours

• 45.56 hours