Surface Area By Vernon Savoury Math – Grade 6 Unit 3 Measurement: Shape and Space SO 4,5.

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Presentation transcript:

Surface Area By Vernon Savoury Math – Grade 6 Unit 3 Measurement: Shape and Space SO 4,5

Re-cap… How do you find perimeter? How do you find area? How do you think surface area?

Calculate the area of the following shapes: 4cm 8.5 cm

Add the area of all those shapes together…

You just calculated surface area!

Definition Surface Area – is the total number of unit squares used to cover a 3-D surface. Which means you need to find the area of each face.

How many areas would you need to calculate in order to find the surface area of this rectangle?

Calculating Surface Area In order to calculate the surface area, you will need to calculate the area of each face, then add up all the areas.

Which metric number do you think surface area would end with?

It ends with a squared ex: 15 cm 2

Find the SA of a Rectangular Solid Front Top Right Side A rectangular solid has 6 faces. They are: Top Bottom Front Back Right Side Left Side Which of the 6 sides are the same? Top and Bottom Front and Back Right Side and Left Side We can only see 3 faces at any one time.

Surface Area of a Rectangular Solid Front Top Right Side We know that Each face is a rectangle. and the Formula for finding the area of a rectangle is: A = lw Steps: Find: Area of Top Area of Front Area of Right Side Find the sum of the areas Multiply the sum by 2. The answer you get is the surface area of the rectangular solid.

Minds On… 12 m 8 m 5 m Top Front Right Side Front Top Right Side Find the Area of each face: 12 m 5 m 12 m 8 m 5 m 8 m

Find the Surface Area of the following: 12 m 8 m 5 m Top Front Right Side Front Top Right Side Find the Area of each face: 12 m 5 m 12 m 8 m 5 m 8 m A = 12 m x 5 m = 60 m 2 A = 12 m x 8 m = 96 m 2 A = 8 m x 5 m = 40 m 2 Sum = 60 m m m 2 = 196 m 2 Multiply sum by 2 = 196 m 2 x 2 = 392 m 2 The surface area = 392 m 2

Nets A net is all the surfaces of a rectangular solid laid out flat. Top Right Side Front 10 cm 8 cm 5 cm Top Bottom Front Back Right SideLeft Side 10 cm 5 cm 8 cm 5 cm

Top Right Side Front 10 cm 8 cm 5 cm Top Bottom Front Back Right SideLeft Side 10 cm 5 cm 8 cm 5 cm Minds On… Find the Surface Area using nets. Each surface is a rectangle. A = lw Find the area of each surface. Which surfaces are the same? Find the Total Surface Area. What is the Surface Area of the Rectangular solid?

Top Right Side Front 10 cm 8 cm 5 cm Top Bottom Front Back Right SideLeft Side 10 cm 5 cm 8 cm 5 cm Find the Surface Area using nets. Each surface is a rectangle. A = lw Find the area of each surface. Which surfaces are the same? Find the Total Surface Area What is the Surface Area of the Rectangular solid? 340 cm 2