Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Name: Date:
Transcript
Name: ___________________________________________________________________________ Surface Area and Lateral Area Date: __________________ Period: ________________ Surface Area – The total ______________________ of Lateral Area – The total _______________ of the all of the ________________________ of a solid 3D _______________ __________________. figure. Formulas for Lateral Area that are NOT Given Right Circular Cylinder L = 2𝜋rh Formulas for Surface Area that are NOT Given Sphere SA = 4𝜋r2 Right Circular Cone Practice Problems: 1. Find the surface area of the prism. L = 𝜋rl, where l is the slant height 2. Find the surface area of a regular square pyramid where each edge of the base is 12 cm and the height of the pyramid is 8 cm. 3. Find the surface area of the cylinder. Use π ≈ 3.14 and round your answer to the nearest tenth of a square centimeter. 4. What is the surface area of the cone below in terms of π ? 5. The sphere appears in nature whenever a surface wants to be as small as possible. Bubbles are an example of such a surface. If the diameter of a bubble is known to be 2 mm, what is the surface area of the bubble to the nearest square mm? 6. If the lateral area below is 72 ft2, solve for x. 8. Find the lateral area, to the nearest tenth, of the right circular cylinder whose radius is 3.5 cm and whose height is 16 cm. 10. Find the lateral area, in terms of π , of the right circular cone whose base has a diameter of 8 and which has a slant height of 5. 7. Find the lateral area of a regular square pyramid where each edge of the base is 12 cm and the height of the pyramid is 8 cm. 9. Find the radius of the base of the circular cylinder whose lateral area is 30 π sq ft and whose height is 5 ft. Name: ___________________________________________________________________________ Date: __________________ HW: Surface Area and Lateral Area Period: ________________ 1. Carlos is preparing to sculpt a large 2. Find the total surface area of a regular rectangular block of stone. What is the pyramid with a square base where each surface area of this prism? side of the base is 10 inches and the lateral edge is 13 inches. 3. Find the surface area of the cylinder. Use 4. What is the radius of the sphere whose surface area is 100 π in2? π ≈ 3.14 and round your answer to the nearest hundredth of a square centimeter. 5. Find the lateral area, in terms of π , of the 6. Find the lateral area of the gift box. cylinder whose diameter is 12 inches and whose height is 8 inches.
