Exploring Surface Area with Nets

The video tutorial covers the concept of finding surface area using nets. It begins with an introduction to the topic and proceeds to demonstrate the calculation of surface area for various shapes, including cubes, square pyramids, rectangular prisms, and triangular prisms. Each section provides a detailed explanation of the formulas and steps involved in calculating the surface area of these shapes, emphasizing the importance of understanding the dimensions and properties of each geometric figure.

What is the surface area of a cube with a side length of 3 units?

• 18 units squared

• 27 units squared

• 54 units squared

• 9 units squared

How many faces does a cube have?

• 12

• 8

• 6

• 4

What is the area of one triangular face of a square pyramid with a base of 3 and height of 4?

• 9 units squared

• 12 units squared

• 6 units squared

• 3 units squared

What is the total surface area of a square pyramid with a square base area of 9 units squared and four identical triangular faces each with an area of 6 units squared?

• 48 units squared

• 54 units squared

• 24 units squared

• 33 units squared

What is the area of the top face of a rectangular prism if its dimensions are 2 by 5 units?

• 10 units squared

• 7 units squared

• 14 units squared

• 20 units squared

How many total units squared is the surface area of a rectangular prism if each pair of opposite faces are 10, 10, and 4 units squared respectively?

• 48 units squared

• 24 units squared

• 52 units squared

• 28 units squared

What is the area of one triangular face of a triangular prism with a base of 3 units and height of 4 units?

• 12 units squared

• 6 units squared

• 8 units squared

• 10 units squared

What is the combined area of the rectangular faces of a triangular prism if their areas are 35, 28, and 21 units squared?

• 94 units squared

• 64 units squared

• 84 units squared

• 74 units squared

What is the total surface area of a triangular prism with two triangular faces each having an area of 6 units squared and rectangular faces with areas of 35, 28, and 21 units squared?

• 102 units squared

• 96 units squared

• 120 units squared

• 110 units squared

If a triangular prism has a base of 3 units and a height of 4 units for its triangular faces, what is the area of one of these faces?

• 6 units squared

• 12 units squared

• 8 units squared

• 7 units squared