SURFACE AREA PRISMS AND CYLINDERS NET 2 NET 3 NET 4.

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Presentation transcript:

SURFACE AREA PRISMS AND CYLINDERS

NET 2

NET 3

NET 4

NET 5

NET 6

NET 7

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.

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

FIND THE SURFACE AREA 6 cm 4 cm 14 cm Area of Top = 6 cm x 4 cm = 24 cm 2 Area of Front = 14 cm x 6 cm = 84 cm 2 Area of Right Side = 14 cm x 4 cm = 56 cm 2 Find the sum of the areas: 24 cm cm cm 2 = 164 cm 2 Multiply the sum by 2: 164 cm 2 x 2 = 328 cm 2 The surface area of this rectangular solid is 328 cm m 2 84 m 2 56 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 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

PRACTICE FIND THE LATERAL AND TOTAL SURFACE AREA.

HEIGHT VS. SLANT HEIGHT BY CONVENTION, H REPRESENTS HEIGHT AND L REPRESENTS SLANT HEIGHT.

PRACTICE DRAW A NET FOR THE SQUARE PYRAMID BELOW. To find the lateral surface area: Find the area of one triangle, then multiply by 4

PRACTICE DRAW A NET FOR THE SQUARE PYRAMID BELOW. To find the lateral surface area: Find the area of one triangle, then multiply by 4

PRACTICE DRAW A NET FOR THE SQUARE PYRAMID BELOW. To find the total surface area: Just add the area of the base to the lateral area

Surface Area of a Cylinder h A cylinder is a prism with a circular cross-section. 2r2r

Surface Area of a Cylinder A cylinder is a prism with a circular cross- section. r2r2 r2r2  Removing top and bottom Open out 2  r h Surface Area = 2  r  rh = 2  r(r + h)

Surface Area of a Cylinder 8cm Surface area = 2  r(r + h) 3cm Find the surface area of the cylinder. SA = 2 x  x 3(3 + 8) = 6  x 11 = 66  = 207 cm 2 (3 sf)

6 cm The Surface Area of a Cylinder Calculate the surface area of the following cylinders. 15 cm 2.1mm 9.2 mm 3 cm 2 m SA = 2 x  x 3(3 + 6) = 6  x 9 = 54  = cm 2 SA = 2 x  x 2(2 + 15) = 4  x 17 = 68  = m 2 SA = 2 x  x 4.6( ) = 9.2  x 6.7 = mm 2 2  r(r + h)

The Surface Area of a Cylinder Find the surface area of the cylinder. 2 m 6m

The Surface Area of a Cylinder Find the surface area of the cylinder. 0.7 m 1.5m

The Surface Area of a Cylinder Find the surface area of the cylinder. 1.9 m 8m

The Surface Area of a Cylinder Find the surface area of the cylinder m 1.3m