Write the surface area formula for each solid.
1. Prism
2. Cylinder
3. Pyramid
4. Find the surface area of each solid. Use 3.14 for .a. b.
2(LW + WH + LH)
2 π r h + 2 π r2
Lateral Area + Base Area
The lateral area (LA) of a cone is equal to one-half the circumference (C) of the
base times the slant height (l) of the cone.
LA = Cl = πrl2
1
The surface area of a cone is equal to the sum of the lateral area (LA) and the
area of the base (B).
SA = LA + B
SA = πrl + πr2
Jenny serves snow cones by putting flavored ice in apaper cone-shaped cup. Find the lateral area of the snowcone cup. Use 3.14 for π.
Write the formula. LA = πrl Substitute known values. LA ≈ (3.14)(8)(10) Multiply. LA ≈ 251.2
The lateral area of the snow cone cup is 251.2 square centimeters.
Find the surface area of thecone. Use 3.14 for π.
Find the length of the radius. 12 ÷ 2 = 6 Find the area of the base. πr2 ≈ (3.14)(6)2 ≈ 113.04 Write the formula. SA = πrl + B Substitute values. SA ≈ (3.14)(6)(9) + (113.04) Multiply, then add. SA ≈ 169.56 + 113.04 ≈ 282. 6
The surface area is approximately 282.6 in2.
1. The slant height of a cone is 4 feet. The radius of the cone is 3 feet. Use 3.14 for .
a) Find the lateral area of the cone.
b) Find the surface area of the cone.
2. The lateral area of the cone is 541.65 mm². Find the length of the radius. Use 3.14 for π.
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