Calculating the Volume of Right Prisms

The video tutorial explains the concept of volume, emphasizing its importance in measuring the capacity of three-dimensional objects. It introduces the basic formula for calculating the volume of prisms, which involves finding the area of the base and multiplying it by the height. The tutorial also explains the use of variables, such as capital B for the area of the base and capital H for the height of the prism. Several examples are provided, including calculations for a cube, a rectangular prism, and a triangular prism, to illustrate the application of the volume formula.

What is the primary reason for measuring volume?

• To measure the distance between objects

• To calculate the surface area of objects

• To determine the weight of objects

• To understand the capacity of containers

Why do Amazon boxes often come half empty?

• To save on shipping costs

• To ensure products are not damaged

• To waste space intentionally

• Because of miscalculation of volume

Which unit is not commonly used to measure volume?

• Kilograms

• Liters

• Gallons

• Cubic centimeters

What is the formula for calculating the volume of a prism?

• Length x Width x Height

• Area of the base + Height

• Area of the base x Height

• Perimeter of the base x Height

For a cube with an edge length of 5 cm, what is its volume?

• 75 cubic centimeters

• 25 cubic centimeters

• 125 cubic centimeters

• 15 cubic centimeters

What does the 'B' represent in the volume formula for prisms?

• The base area of the prism

• The breadth of the prism

• The bulk of the prism

• The boundary length of the prism

In the context of prisms, what does 'H' stand for?

• The horizontal length

• The heftiness of the prism

• The hypotenuse of the base

• The height of the prism

If a rectangular prism has a base area of 100 square inches and a height of 18 inches, what is its volume?

• 180 cubic inches

• 1800 cubic inches

• 1000 cubic inches

• 118 cubic inches

What is the correct formula for the area of a triangle?

• 2 x (Base x Height)

• (Base + Height) / 2

• Base x Height

• (Base x Height) / 2

For a triangular prism with a base area of 1.5 square meters and a height of 3.4 meters, what is its approximate volume?

• 2.55 cubic meters

• 3.4 cubic meters

• 4.5 cubic meters

• 5.1 cubic meters