Surface Area of Triangular Prisms

The video tutorial covers the seventh-grade concept of surface area, focusing on a triangular prism. It begins with an introduction to the topic and the problem from the 2022 STAR test. The instructor explains the concept of a net for a triangular prism and how to use the additive property of area to find the total surface area. The tutorial includes detailed steps for calculating the areas of rectangles and triangles that make up the net, using specific dimensions. The video emphasizes understanding the geometry and applying mathematical reasoning to solve the problem.

What is the main focus of the video tutorial?

• Area of a circle

• Perimeter of a rectangle

• Surface area of a triangular prism

• Volume of a cube

What is a net in the context of a triangular prism?

• A flat layout of the prism's surfaces

• A drawing of the prism

• A formula for calculating volume

• A 3D model of the prism

How does the additive property of area help in finding the total surface area?

• By subtracting areas of overlapping shapes

• By adding up the areas of adjacent shapes

• By multiplying the areas of all shapes

• By dividing the total area by the number of shapes

What is the base and height of the rectangles in the net?

• Base: 4, Height: 12

• Base: 6, Height: 12

• Base: 12, Height: 12

• Base: 10, Height: 12

How many rectangles are there in the net of the triangular prism?

• Five

• Four

• Three

• Two

What is the formula used to calculate the area of a triangle?

• Base plus height

• One half base times height

• Base times height

• Base divided by height

What is the base length of the triangles in the net?

• 10 inches

• 16 inches

• 12 inches

• 14 inches

What is the height of the triangles used in the calculation?

• 8.4 inches

• 9.4 inches

• 10.4 inches

• 11.4 inches

What is the total surface area of the triangular prism?

• 144 square inches

• 268.8 square inches

• 200 square inches

• 300 square inches

Why is the total surface area not 144 square inches?

• Because it only includes the area of the rectangles

• Because it includes overlapping areas

• Because it is calculated incorrectly

• Because it only includes the area of the triangles