Warm Up - Plain Local School District Volume of... · Determine surface area for pyramids by...
Transcript of Warm Up - Plain Local School District Volume of... · Determine surface area for pyramids by...
Warm Up
1. Find the volume of a rectangular prism that is 4 in. tall, 16 in. wide, and 48 in deep.
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 pi.
3. A triangular prism’s base is an equilateral triangle. The sides of the equilateral 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?
Warm Up
1. Find the volume of a rectangular prism that is 4 in. tall, 16 in. wide, and 48 in deep.
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 pi.
3. A triangular prism’s base is an equilateral triangle. The sides of the equilateral 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?
3. Use appropriate levels of precision when calculating with measurements.4. Derive formulas for surface area and volume and justify them using geometric models and common materials. For example, find: a. the surface area of a cylinder as a function of its height and radius; b. that the volume of a pyramid (or cone) is onethird of the volume of a prism (or cylinder) with the same base area and height.5. Determine surface area for pyramids by analyzing their parts.10. Use conventional formulas to find the surface area and volume of prisms, pyramids and cylinders and the volume of spheres and comes to a specified level of precision.
Vocabularypyramidcone
Math Bookpg.420
OH Academic Content Standards8.1.6; 8.2.4.b; 8.2.9; 8.2.10; 8.4.8
MotivateShow an empty cylinder and an empty cone that have congruent circular bases and equal heights. Guess how many cones it will take to fill the cylinder. Fill the cone and pour it into the cylinder. ﴾You can use water or uncooked rice or beans.﴿Repeat until the cylinder is full. Students willsee that the volume of the cylinder is threetimes the volume of the cone.