Surface Area of Cylinders and Prisms Explained

This video tutorial covers the calculation of surface areas for cylinders, rectangular prisms, and triangular prisms. It begins with an introduction to the topic, followed by detailed steps to find the lateral and total surface areas of each shape. The tutorial emphasizes the importance of identifying the base, calculating the perimeter, and using the correct formulas for each geometric figure.

What is the formula to calculate the lateral surface area of a cylinder?

• 2 * pi * radius * height

• pi * radius^2

• 2 * pi * radius^2

• pi * radius * height

What is needed to calculate the surface area of a cylinder?

• Circumference and height

• Volume and radius

• Diameter and height

• Radius and height

How do you calculate the total surface area of a cylinder?

• Lateral surface area + 2 * pi * radius^2

• 2 * pi * radius * height

• 2 * (lateral surface area) + 2 * pi * radius^2

• pi * radius^2

What do you need to calculate the surface area of a rectangular prism?

• Perimeter of the base, height, and area of the base

• Length, width, and height

• Volume and height

• Area of the base and height

Tags

CCSS.7.G.B.6

How is the area of the base of a rectangular prism calculated?

• Length * Width

• Perimeter * Height

• Length + Width

• 2 * (Length + Width)

Tags

CCSS.7.G.B.6

How is the total surface area of a rectangular prism calculated?

• Perimeter of the base * height + 2 * area of the base

• Length * width + 2 * height

• Length * width * height

• 2 * (length + width + height)

Tags

CCSS.7.G.B.6

What is the perimeter of the base used for in calculating the surface area of prisms?

• Calculating the total surface area only

• Determining the shape of the prism

• Finding the volume

• Calculating the lateral surface area

Tags

CCSS.7.G.B.6

What is the formula for the lateral surface area of a triangular prism?

• Perimeter of the base + 2 * area of the base

• 1/2 * base * height

• Base * height

• Perimeter of the base * height

Tags

CCSS.7.G.B.6

How do you find the total surface area of a triangular prism?

• Perimeter of the base * height

• Base * height

• Lateral surface area + 2 * area of the base

• 2 * (lateral surface area) + area of the base

Tags

CCSS.7.G.B.6

How do you find the area of the base of a triangular prism?

• Base + height of the triangle

• Perimeter of the base * height of the prism

• Base * height of the prism

• 1/2 * base * height of the triangle

Tags

CCSS.7.G.B.6