Math 6 - Surface Area of Space Figures.ppsx
0 likes385 views
The document outlines methods for calculating the surface areas of various three-dimensional shapes including cubes, prisms, pyramids, cylinders, cones, and spheres. It provides specific formulas for each shape, illustrated with examples such as wrapping a gift and calculating the surface area for items like a pool and a cylindrical tank. Additionally, it details how much surface cover (such as gift wrap or glitter) is required for these objects based on their dimensions.
Math 6 - Surface Area of Space Figures.ppsx
- 2. Learning Target: b. Find the surface area of cube, prism, pyramid, cylinder, cone, and sphere. a. Derive a formula for finding the surface area of cube, prism, pyramid, cylinder, cone and sphere; and
- 3. How do I find out how much gift-wrap I need to buy for this box? You need to get the surface area of the box.
- 4. is the total area of the surface of a three- dimensional object.
- 5. Ana wraps her gift for Elsa. The measure of the edge of the cube is 10 inches. She does not have extra paper, so she does not overlap any of the edges. How much paper was used to cover Ana’s gift? Formula: Cube SA = 6s2 = 6 x 10 in 2 = 6 x 100 in2 = 600 in2
- 6. Compute the SURFACE AREA of a CUBE. SA = 6s2 SA = 216 2 SA = 384 2
- 7. A Christmas ball has a radius of 11 cm. If its surface area is to be filled up with glitters, how much area will be covered with glitters? Formula: Sphere SA = 4ꙥr2 = 4ꙥx 11 cm2 = 4ꙥ x 121 cm2 = 1519.76 cm2 = 4 x 3.14 x 121 cm2
- 8. Compute the SURFACE AREA of a SPHERE. SA = 4ꙥr2 SA = 452.16 2 SA = 803.84 2
- 9. Mark has a pool filled with water. The pool is 10 m long, 8 m wide, and 4 m deep. Find the surface area of the pool. Formula: Rectangular Prism SA = 2LW + 2LH + 2WH = 2(10 x 8) + 2(10 x 4) + 2 (8 x 4) = 2 (80) + 2 (40) + 2 (32) = 304 m2 = 160 + 80 + 64
- 10. Compute the SURFACE AREA of a RECTANGULAR PRISM. SA = 2LW + 2LH + 2WH SA = 150 2 SA = 170 2
- 11. Our cylindrical tank has a radius of 5 ft and height of 10 ft. How much paint is needed to paint its surface? Formula: Cylinder SA = 2ꙥr2 + 2ꙥrh = 2(3.14 x 52) + 2(3.14 x 5 x 10) = 2(3.14 x 25) + 2(3.14 x 50) = 2(78.5) + 2(157) = 157 + 314 = 471 ft2
- 12. Compute the SURFACE AREA of a Cylinder. SA = 2ꙥr2 + 2ꙥrh SA = 94.2 2 SA = 301.44 2
- 13. A cone has a radius of 3 cm, height of 4 cm and the slant measures 5 cm. Find the total surface area of the cone. Formula: Cone SA = ꙥr2 + ꙥrs = 3.14 x 32 + 3.14 x 3 x 5 = 3.14 x 9 + 3.14 x 15) = 28.26 + 47.1 = 75.36 cm2
- 14. Compute the SURFACE AREA of a CONE. SA = ꙥr2 + ꙥrs SA = 136.8 2 SA = 50.24 2 10 cm 8 m