Lateral Area, Surface Area, and Notes

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Presentation transcript:

Lateral Area, Surface Area, and Notes

Lateral Area Lateral area – these are the flat sides of prisms, cones, and cylinders lateral face There are 4 lateral faces on this shape and 2 bases

Definitions Lateral area – for prisms, cylinders and cones – the area of the figure not including the bases Surface Area – the sum of the area of all of the faces (sides and both bases) Volume – a measure of the amount of space contained in the interior of a solid

Prisms To find Lateral Area: perimeter times height of prism LA = Ph P is the perimeter of the base h is the height of the prism 6 10 4

Lateral Area Identify the two bases. Find the perimeter of one base (add all the sides) Multiply the perimeter by the height of prism 6 4 10 P = 4 + 4 + 6 + 6 = 20 20 (10) = 200

Lateral Area Perimeter of a 6 sided base is 6 x 10….p = 60 10 cm h = 12 60(12) = 720 Answer is 720cm2 10 cm 12cm Answers for area are always squared

Surface Area SA = LA + area of the 2 bases You need to know how to find perimeter of any polygon! (Just add all the sides) Steps: Find P and h Find LA Find base area Add 2 base areas and the LA to get SA Final answer will be in units 2

Surface Area SA = LA + area of the 2 bases Find P of base (4 + 4 + 10 + 10) = 28 h = 17 LA = Ph = (28)(17) = 476 Area of rectangle  l x w Area of base = 4 x 10 = 40 SA = Ph + 2B = 476 + 2(40) = 556 SA = 556 cm 2

Surface Area SA = LA + area of the 2 bases The base is a parallelogram! P = 5 + 5 + 3 + 3 = 16 h = 2 LA = Ph = 16(2) = 32 = LA A = l x w or b x h A = (3)(5) = 15 SA = 32 + 15 + 15 = 62m2 5m 3m 2m