Pyramid or not? Why?.

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Presentation transcript:

Pyramid or not? Why?

What is the film? https://www.youtube.com/watch?v=YVOPYFU168k Despicable me. Play the clip from 0:57 till the end https://www.youtube.com/watch?v=YVOPYFU168k 0:57 - end

Think about the ‘fake’ pyramid … What do you think it was made from Think about the ‘fake’ pyramid … What do you think it was made from? How much material do you think was needed to make it? Discuss: What information would you need to know?

What information would you need to know?

We want to know the amount of material required. In other words, we want the area of all the outside faces

We are trying to find the surface area of the pyramid

This is the Great Pyramid. We know from last lesson that the base length is 229.8 m and its slant height is 186.6 m. How does this help?

It is easier to find the surface area from a net

It is easier to find the surface area from a net

Find the surface area of the Great Pyramid

Find the surface area of the Great Pyramid SA = 138569m2

Find the surface area of the following pyramids: SA = (25 x 25) + 4 32 x 25 2 SA = 625 + 4(400) SA = 2225 feet2 PRINT

Find the surface area of the following pyramids: SA = (40 x 40) + 4 94 x 40 2 SA = 1600 + 4(1880) SA = 9120 cm2 PRINT

What is different this time? This time we are given the edge length of the pyramid

What is different this time? Which length do we need to find the surface area?

What is different this time? Slant height How can we use the edge length to help us find the slant height?

What is different this time? Slant height 85cm 12cm What will the dimensions be? How can we find the slant height?

What do the small lines on the base of the pyramid represent?

What is different this time? This time we are given the perpendicular height of pyramid

What is different this time? Which length do we need to find the surface area?

What is different this time? Which length do we need to find the surface area?

What is different this time? Slant height How can we use the perpendicular height to help us find the slant height?

What is different this time? 10cm Slant height 3cm What will the dimensions be? How can we find the slant height?

Find the surface area of the following pyramids: HINT: Find the slant height first … SA = (6 x 6) + 4 91 x 6 2 SA = 36 + 4(3 91 ) SA = 36 + 12 91 m2 SA = 150.5 m2

Find the surface area of the following pyramids: HINT: Find the slant height first … SA = (20 x 20) + 4 325 x 20 2 SA = 400 + 721.110255… SA = 1121.1 cm2

The surface area of this pyramid is 480 cm2 Find the base length Challenge: The surface area of this pyramid is 480 cm2 Find the base length 14cm

Resources

Find the surface area of the following pyramids: PRINT - 2 per page for each student

Find the surface area of the following pyramids: PRINT

Find the surface area of the following pyramids:

Find the surface area of the following pyramids: