Volume of Composite 3D Figures answers Unit 7 Lesson 7
1. The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height of the prism.
2. The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height of the cylinder.
3. To find the total volume of a composite 3D figure made up of a rectangular prism and a cylinder, you need to calculate the volume of each individual shape and then add them together.
4. For example, if the rectangular prism has dimensions 5 cm x 3 cm x 10 cm and the cylinder has a radius of 2 cm and a height of 8 cm, you would first calculate the volume of the rectangular prism (V1 = 5 cm x 3 cm x 10 cm = 150 cm^3) and the volume of the cylinder (V2 = π(2 cm)^2 x 8 cm = 32π cm^3).
5. Then, you would add the volumes together to find the total volume of the composite figure (V = V1 + V2 = 150 cm^3 + 32π cm^3).
6. You can leave the answer in terms of π or use an approximate value of 3.14 for π to calculate a numerical answer.