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Warm Ups 1-1 Evaluating Algebraic Expressions Preview 10-1 Three-Dimensional Figures 10-2 Volume of Prisms and Cylinders 10-3 Volume of Pyramids and Cones 10-4 Surface Area of Prisms and Cylinders 10-5 Surface Area of Pyramids and Cones 10-6 Spheres 10-7 Scaling Three-Dimensional Figures Holt CA Course 2 10-1 Figures 1-1 Three-Dimensional Evaluating Algebraic Expressions Warm Up Identify each two-dimensional figure described. 1. four sides that are all congruent rhombus 2. six sides hexagon 3. four sides with parallel opposite sides parallelogram 4. four right angles and four congruent sides square Holt CA Course 2 10-2 of Cylinders and PrismsExpressions 1-1 Volume Evaluating Algebraic Warm Up Find the area of each figure described. Use 3.14 for p. 1. a triangle with a base of 6 feet and a height of 3 feet 9 ft2 2. a circle with radius 5 in. 78.5 in2 Holt CA Course 2 10-3 of Pyramids and Cones Expressions 1-1 Volume Evaluating Algebraic Warm Up 1. Find the volume of a rectangular prism that is 4 in. tall, 16 in. wide, and 48 in deep. 3072 in3 2. A cylinder has a height of 4.2 m and a diameter of 0.6 m. To the nearest tenth of a cubic meter, what is the volume of the cylinder? Use 3.14 for p. 1.2 m3 3. A triangular prism’s base is an equilateral triangle. The sides of the triangle are 4 ft, and the height of the prism is 8 ft. To the nearest cubic foot, what is the volume of the prism? 55.4 ft3 Holt CA Course 2 10-4 Area of Prisms and Cylinders 1-1 Surface Evaluating Algebraic Expressions Warm Up 1. A triangular pyramid has a base area of 1.2 m2 and a height of 7.5 m. What is the volume of the pyramid? 3 m3 2. A cone has a radius of 4 cm and a height of 10 cm. What is the volume of the cone to the nearest cubic centimeter? Use 3.14 for p. 167 cm3 Holt CA Course 2 10-5 Area of Pyramids and Cones 1-1 Surface Evaluating Algebraic Expressions Warm Up 1. A rectangular prism is 0.6 m by 0.4 m by 1.0 m. What is the surface area? 2.48 m2 2. A cylindrical can has a diameter of 14 cm and a height of 20 cm. What is the surface area to the nearest tenth? Use 3.14 for p. 1186.9 cm2 Holt CA Course 2 10-6 1-1 Spheres Evaluating Algebraic Expressions Warm Up 1. Find the surface area of a square pyramid whose base is 3 m on a side and whose slant height is 5 m. 39 m2 2. Find the surface area of a cone whose base has a radius of 10 in. and whose slant height is 14 in. Use 3.14 for p. 753.6 in2 Holt CA Course 2 10-7 Three-Dimensional Figures 1-1 Scaling Evaluating Algebraic Expressions Warm Up Find the surface area of each rectangular prism. 1. length 14 cm, width 7 cm, height 7 cm 490 cm2 2. length 30 in., width 6 in., height 21 in. 1872 in2 3. length 3 mm, width 6 mm, height 4 mm 108 mm2 4. length 37 in., width 9 in., height 18 in. Holt CA Course 2 2322 in2