# Surface area of a pyramid

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Investigating areas of surfaces in a pyramid is approached with this activity.

### Objectives

Understand the solid figure - pyramid.

Explore properties of pyramids.

### Estimated Time

30 minutes.

### Prerequisites/Instructions, prior preparations, if any

- Knowledge about dimensions, plane figures and solid figures.
- The formulae to find the area of a square and triangles.
- They should know the properties of a pyramid.

### Materials/ Resources needed

Digital: Laptop, geogebra file, projector and a pointer.

Geogebra file: Surfaces of a pyramid

Download this geogebra file from this link.

### Process (How to do the activity)

- Process :

- The teacher can initially discuss about plane figures, solid figures and pyramids.
- Reiterate the properties of pyramid.
- Discuss about the types of pyramids based on its base.
- project the geogebra file, point to parts of pyramid.
- Moving slider, show them the open pyramid so that students can easily comprehend the surface area of it.
- Reiterate that surface area of pyramid would be the sum of area of its base + 4 times the area of its sides in case of a regular pyramid.

- Developmental Questions

- What is a pyramid ?
- Name its parts.
- What are its properties ?
- What shape is its base ?
- How many vertices does it have ?
- What are the shapes of its sides.
- How many edges, faces does it have ?
- What is the formula to find the area of a square ?
- What is the formula to find the area of a triangle ?
- How do you get the perpendicular height of the triangle?
- Do you know any other formula to find the area of the triangle ?
- What would be the area of the pyramid ?

- Evaluation:

- On what factors would the area of a pyramid depend ?

- Question Corner:

- Can we have a generalised formula to find the surface area of all types of pyramids ? Discuss.