Triangular Prism Volume and Surface Area

The video tutorial explains how to calculate the surface area and volume of a scalene triangular prism. It begins with an introduction to the properties of a scalene triangular prism, followed by detailed steps to calculate the surface area by considering the triangular ends and rectangular sides. The tutorial then covers the calculation of the prism's volume using the area of the triangular base and the prism's height. Key calculations include using the formula for the area of a triangle and multiplying it by the prism's height to find the volume.

What is a scalene triangular prism?

• A prism with a circular base

• A prism with all sides of equal length

• A prism with two sides of equal length

• A prism with all sides of different lengths

Which of the following is true about the base of a scalene triangular prism?

• It is circular

• It has three equal sides

• It has two equal sides

• It has three different sides

How can the area of the triangular ends be calculated?

• Using the formula 1/2 base times height

• Using the formula base times height

• Using the formula base minus height

• Using the formula base plus height

If the base is 9 and the height is 12, what is the area of one triangular end?

• 72

• 27

• 108

• 54

What are the dimensions of the rectangle lying flat on the bottom of the prism?

• 18 by 9

• 18 by 12

• 12 by 9

• 15 by 9

Which rectangle forms the front face of the triangular prism?

• 18 by 9

• 18 by 12

• 18 by 15

• 9 by 12

What is the area of the rectangle with dimensions 18 by 15?

• 108

• 216

• 270

• 162

What is the total surface area of the triangular prism?

• 540 cm²

• 756 cm²

• 432 cm²

• 648 cm²

How is the total surface area of the prism calculated?

• By multiplying the areas of the triangular ends and the rectangular sides

• By subtracting the area of the base from the total area

• By adding the areas of the triangular ends and the rectangular sides

• By dividing the total area by the number of sides

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

• Base plus height times length

• Base minus height times length

• 1/2 base times height times length

• Base times height