Exploring Unit Eleven Concepts on Pages 13-14

The video tutorial covers the concepts of lateral and surface area, focusing on prisms, cylinders, pyramids, and cones. It provides step-by-step instructions for calculating these areas, emphasizing the importance of understanding the perimeter, height, and slant height in different shapes. The tutorial also includes practical examples and encourages viewers to practice calculations independently.

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

• Area of the base times the slant height

• Perimeter of the base times the slant height

• Area of the base times the height

• Perimeter of the base times the height

Tags

CCSS.7.G.B.6

How do you calculate the surface area of a prism?

• Lateral area minus the area of the base

• Twice the lateral area plus the area of the base

• Lateral area plus twice the area of the base

• Lateral area plus the area of the base

Tags

CCSS.7.G.B.6

If the perimeter of the base of a prism is 36 and the height is 16, what is the lateral area?

• 242

• 684

• 576

• 108

Tags

CCSS.7.G.B.6

For a prism with a base perimeter of 27 and a height of 3, what is the lateral area?

• 54

• 243

• 81

• 108

What is the formula for the lateral area of a cylinder?

• πr² times the height

• πr² times the slant height

• 2πr times the slant height

• 2πr times the height

How do you calculate the surface area of a cylinder?

• Lateral area minus the area of the base

• Twice the lateral area plus the area of the base

• Lateral area plus twice the area of the base

• Lateral area plus the area of the base

Tags

CCSS.7.G.B.6

What is the slant height in the context of a pyramid?

• The perimeter of the base

• The height of the pyramid

• The distance from the base to the apex

• The height along the side of the pyramid

Tags

CCSS.7.G.B.6

For a pyramid with a base perimeter of 32 and a slant height of 11.7, what is the lateral area?

• 187.5

• 64

• 32

• 128

What is the formula for the lateral area of a cone?

• πr times the slant height

• 2πr times the slant height

• πr times the height

• 2πr times the height

How do you calculate the surface area of a cone?

• Twice the lateral area plus the area of the base

• Lateral area plus the area of the base

• Lateral area minus the area of the base

• Lateral area plus twice the area of the base