Surface Area and Base Shapes of Pyramids

This video tutorial covers the calculation of surface areas for square and triangular pyramids. It begins with an introduction to the topic and learning targets, followed by detailed examples of calculating surface areas for both square and triangular pyramids. The video includes practice problems with solutions to reinforce the concepts taught.

What is the base shape of a square pyramid?

• Triangle

• Circle

• Square

• Rectangle

How many sides does a square pyramid have?

• 5

• 4

• 3

• 6

What is the first step in finding the surface area of a square pyramid using a net?

• Multiply the base area by the height

• Add the areas of all sides

• Calculate the area of one side

• Calculate the area of the base

When calculating the area of a triangle, why do we divide by two?

• To find the perimeter

• To convert to square units

• Because a triangle is half of a rectangle

• To adjust for the height

If the base of a square pyramid is 7 meters, what is the area of the base?

• 49 square meters

• 28 square meters

• 14 square meters

• 21 square meters

What is the surface area of a square pyramid with a base area of 49 square meters and side areas totaling 140 square meters?

• 49 square meters

• 189 square meters

• 98 square meters

• 140 square meters

What is the base shape of a triangular pyramid?

• Square

• Triangle

• Circle

• Rectangle

How do you calculate the base area of a triangular pyramid?

• Base times height

• Base times height divided by two

• Base plus height

• Length times width

If a triangular pyramid has a base area of 15.6 square feet and side areas totaling 72 square feet, what is the total surface area?

• 15.6 square feet

• 87.6 square feet

• 100 square feet

• 72 square feet

What is the total surface area of a triangular pyramid with three side triangles each having an area of 24 square feet?

• 48 square feet

• 24 square feet

• 72 square feet

• 96 square feet