3.1.2 The Right Pyramid

The Right Pyramid

Learning Objective:
Find the Surface Area and Volume of a right-angle pyramid.

​Success Criteria: I can ...

• Differentiate between the surface area and volume.

• Identify the key components of a right pyramid.

• Use the correct formulas to calculate the surface area and volume of a right-angle of a pyramid.

• Apply formulas to real-world scenarios.

Think-pair

​Discuss the following in pairs...

What is Area?

What is surface area?

Are area and surface area the same thing? Explain with examples.

Contrast between surface area and volume. Support your answer with examples.

Pyramids in real world

• What shapes do you see in these pyramids?

• What do you think pyramids were used for in ancient times?

• Can you think of any modern structures that resemble pyramids?

Properties of a Right Pyramid

Surface area and volume of a right pyramid

Math Response

Pyramid ABCDE is square-based, as shown below. The length of the side of the square is 12cm. The perpendicular height of the pyramid is 8cm. Find the surface area of the pyramid.

Type answer here

Correct Answer: 384

Deg^°

Rad

Math Response

Pyramid ABCDE is square-based, as shown below. The length of the side of the square is 12cm. The perpendicular height of the pyramid is 8cm.

Find the volume of the pyramid.

Type answer here

Correct Answer: 384

Deg^°

Rad

Math Response

Lateral area means surface area. So this question requires you to calculate the surface area of the tent.

Type answer here

Correct Answer: 216

Deg^°

Rad