Surface Area and Volume of Triangular Prisms

The video tutorial explains how to calculate the volume and surface area of a triangular prism. It begins with an introduction to the dimensions of the prism, followed by a detailed explanation of the volume calculation using the formula: base times height times length divided by two. The tutorial then transitions to surface area, describing the prism as composed of two congruent triangles and three rectangles. The surface area is calculated by summing the areas of these shapes. The video concludes with a recap of the methods discussed.

What are the key dimensions needed to calculate the volume of a triangular prism?

• Height, length, and width

• Base, height, and length

• Base, height, and width

• Base, width, and length

How is the volume of a triangular prism calculated?

• Base times height times width

• Height times length divided by base

• Base times height times length divided by two

• Base times length divided by height

If a triangular prism has a base of 5 cm, height of 4 cm, and length of 6 cm, what is its volume?

• 30 cubic cm

• 60 cubic cm

• 120 cubic cm

• 90 cubic cm

What is the first step in calculating the surface area of a triangular prism?

• Calculate the area of the rectangles

• Calculate the area of the triangles

• Add the areas of all faces

• Multiply the base and height

How many triangles and rectangles make up a triangular prism?

• Two triangles and three rectangles

• Three triangles and two rectangles

• Three triangles and three rectangles

• Two triangles and two rectangles

What is the area of a triangle with a base of 5 cm and height of 4 cm?

• 15 cm²

• 10 cm²

• 20 cm²

• 25 cm²

Which of the following is NOT a dimension used to calculate the area of a rectangle in a triangular prism?

• Width

• Length

• Height

• Base

What is the total surface area of a triangular prism with two triangles each of area 10 cm² and three rectangles with areas 27 cm², 30 cm², and 30 cm²?

• 97 cm²

• 107 cm²

• 117 cm²

• 127 cm²