Calculating Areas and Volumes of Prisms

The video tutorial covers the calculation of volume for rectangular and triangular prisms. It begins with an introduction to the shapes and their respective formulas. The teacher demonstrates how to find the area of the base and use it to calculate the volume. Two example problems are solved: one for a rectangular prism and another for a triangular prism, illustrating the step-by-step process of using the formulas to find the volume.

What is the first step in solving problems related to prisms?

• Find the height

• Determine the color

• Identify the shape

• Calculate the volume

Which formula is used to find the area of a rectangle?

• Length times width

• Base plus height

• Length plus width

• Base times height

In the formula for the volume of a prism, what does 'B' represent?

• The width of the base

• The length of the base

• The area of the base

• The height of the prism

How do you calculate the area of the base for a rectangular prism?

• Divide the length by the width

• Multiply the length by the width

• Add the length and width

• Subtract the width from the length

What is the volume of a rectangular prism with a base area of 748 and height of 39?

• 29,172 cubic meters

• 28,000 cubic meters

• 27,000 cubic meters

• 30,000 cubic meters

When calculating the volume of a rectangular prism, which dimension is used as the height?

• The longest side

• The side not used in the base calculation

• The side used in the base calculation

• The shortest side

What is the base shape of a triangular prism?

• Triangle

• Square

• Rectangle

• Circle

How do you calculate the area of a triangle?

• Base minus height

• Base plus height

• One half base times height

• Base times height

What is the volume of a triangular prism with a base area of 357 and height of 27?

• 10,000 cubic inches

• 8,000 cubic inches

• 9,000 cubic inches

• 9,639 cubic inches

In a triangular prism, which part is always considered the base?

• The longest side

• The triangle

• The shortest side

• The rectangle