Tuesday, Oct 30

Flashcards

Friday, Feb 21Chapter 10.3

Surface Areas of Rectangular PrismsSurface Areas of Rectangular PrismsObjective: To find the surface area of rectangular prisms.

Surface Areas of Rectangular PrismsAt the end of this lesson you should be able to answer the following question.

What is the relationship between area and surface area?

Surface Areas of Rectangular PrismsThe surface area (SA) of a three dimensional figure is the outer face or exterior boundary of the figure.

Surface Areas of Rectangular PrismsThere are two ways to find the surface area of a shape.

1. Use a formula

2. Use a net

Surface Areas of Rectangular PrismsThe formula to find the surface area (SA) of a prism is 2 x Area of the Base + tall x perimeter of the Base, or SA = 2B + tp

Surface Areas of Rectangular PrismsB and b are two different measurements. In a three dimensional shape the Base (B) is area of the bottom and top of the shape and determines the name of the prism.

Surface Areas of Rectangular PrismsArea of the Base (B) = lwPerimeter (p) = w + l + w + ltall (t) = The distance from Base to Base.

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism. SA = 2B + tp

To find the SA of a prism.Step 1 Find the area of the Base. What is the area of the Base?

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism. SA = 2(35) + tp

To find the SA of a prism.Step 1 Find the area of the Base. What is the area of the Base? 5 x 7 = 35

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism. SA = 2(35) + tp

To find the SA of a prism.Step 2 Find the perimeter of the Base. What is the perimeter of the Base?

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism. SA = 2(35) + t(24)

To find the SA of a prism.Step 2 Find the perimeter of the Base. What is the perimeter of the Base? 5 + 7 + 5 + 7 = 24

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism. SA = 2(35) + t(24)

To find the SA of a prism.Step 3 Find the tallness. How tall is the shape? (What is the distance from Base to Base?)

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism. SA = 2(35) + (4)(24)

To find the SA of a prism.Step 3 Find the tallness. How tall is the shape? 4

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism. SA = 2(35) + (4)(24) (4)SA = 166ft

To find the SA of a prism.Step 4 Perform the operations.

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism.

Do this on your own.

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism.

SA = 2(3x4) + (2)(3+4+3+4)SA = 52m

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism.

Do this on your own.

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism.

SA = 2(7x4.8) + (6)(7+4.8+7+4.8)SA = 208.8cm

Surface Areas of Rectangular PrismsThe surface area (SA) of a prism can also be determined by using a net. A net is a deconstructed (flat) version of a three-dimensional shape.

Surface Areas of Rectangular PrismsTo find the surface area (SA) of a prism by using a net the area of each face is added together, like a composite shape.

Surface Areas of Rectangular PrismsSince a rectangular prism has 6 faces, there will be six areas to add.

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism.

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism.

What is the area of the outlined shapes?

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism. 12+12What is the area of the outlined shapes?6 x 2 = 12

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism. 12 + 12What is the area of the outlined shapes?

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism. 12+12+18+18What is the area of the outlined shapes?2 x 9 = 18

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism. 12+12+18+18What is the area of the outlined shapes?

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism.12+12+18+18+54+54What is the area of the outlined shapes?6 x 9 = 54

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism.12+12+18+18+54+54What is the total area?

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism.12+12+18+18+54+54What is the total area?

12+12+18+18+54+54= 168yd

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism.

Do this on your own.

Surface Areas of Rectangular PrismsFind the SA of the rectangular prism.

100+100+150+150+150+150= 800in

Surface Areas of Rectangular PrismsA geode is being sent as a gift. It is packed in a box that measures 7 inches long, 3 inches wide, and 16 inches tall. What is the surface area of the box?

Do this on your own. Surface Areas of Rectangular PrismsA geode is being sent as a gift. It is packed in a box that measures 7 inches long, 3 inches wide, and 16 inches tall. What is the surface area of the box? B = 7 x 3 = 21, H = 16

SA = 2B + Hp

SA = 2(21) + (16)(7+3+7+3) = 362in

Surface Areas of Rectangular PrismsAgenda Notes

Homework No Homework , butHomework Practice 10-3due by the end of the period

Chapter 10 Test Wednesday, Feb 26