Lateral and Surface Area of Triangular Pyramids

Lesson Objective

Demonstration of

Learning

(7.9 D) I will be able to solve problems
involving the lateral and total surface area
of a triangular pyramid by determining the
area of the shape’s net.

Triangular Pyramids

Given 4 problems, I will I will be able to
solve problems involving the lateral and
total surface area of a triangular pyramid
by determining the area of the shape’s net
4/4 times or with 100% accuracy.

How do you find the lateral and total surface area of a triangular
pyramid?

Essential Question

Academic Vocabulary

●Lateral faces

●Total Faces

●Lateral Area

●Total Area

●Area of the Base

Introduction

Multiple Choice

Which describes a difference between any prism and any pyramid?

• A prism has only one base, while a pyramid has two bases.

• A prism can only have an even number of lateral faces, while a pyramid can only have an odd number of lateral faces.

• A prism has two bases, while a pyramid

  has only one base.

• A prism has the same number of lateral faces as the base has sides, while a pyramid has fewer lateral faces than the base has sides.

Multiple Choice

What shape is this?

• Triangular Prism

• Triangular Pyramid

• Rectangular Pyramid

Multiple Choice

What 3D solid does this net create?

• Triangular Prism

• Triangular Pyramid

• Triangular Sphere

• Triangular Polygon

The base and all three faces of a triangular pyramid are equilateral triangles with side lengths of 3 ft. The height of each triangle is 2.6 ft. Use the net to find the lateral area and the total surface area of the triangular pyramid.

Kwame’s team will make two triangular pyramids to decorate the entrance to the exhibit. They will be wrapped in the same metallic foil. Each base is an equilateral triangle. If the base has an area of about 3.9 square feet, how much will the team save altogether by covering only the lateral area of the two pyramids? The foil costs $0.22 per square foot.

Fill in the Blanks

A package is the shape of a triangular pyramid has a base and lateral faces that are all identical equilateral triangles, The side length of each triangle is 90 ft, and the height of each triangle is about 80 ft. 

What is the surface area of the package?

Fill in the Blanks

Find the combined surface area of the triangular pyramid. If the wrapping paper costs $ 0.15 what is the total cost of wrapping the triangular pyramid of two pyramids?

Fill in the Blanks

The net of an isosceles triangular pyramid is shown below.

Find the lateral surface area of the pyramid?

Fill in the Blanks

Find the total surface area of the triangular pyramid given below.