Math 5 Using Volume to Solve Real World Problems

1. Math 5Using Volume to Solve Real World Problems Instructor: Mrs. Tew Turner

2. In this lesson we will learn how to use volume in real world problem solving.

3. Find half of each number below. Use mental math. 68 90 25 Math Warm-up

4. Find half of each number below. Use mental math. 68 34 90 45 25 12.5 Math Warm-up - ANSWERS

5. In this lesson we will answer the question: How do you solve real world problems involving volume?

6. Vocabulary Review geometric solid- a figure that has three dimensions and takes up space polyhedron – another name for a 3-D figure, which means ‘many faces’

7. Vocabulary Review volume- the number of cubic units needed to fill a solid figure (measured as u3) cubic unit – the volume of a cube that measures 1 unit on each edge

8. Vocabulary Review rectangular prism- A solid (3-dimensional) object which has six faces that are rectangles prism – solid with two congruent parallel bases and faces that are parallelograms

9. Vocabulary Review rectangular prism- A solid (3-dimensional) object which has six faces that are rectangles depth – extent downward or backward or inward; "the depth of the water"; "depth of a shelf"; "depth of a closet"

10. Connecting to Previous Learning In previous lessons, you have worked to find the volume of a rectangular prism using cubic units. You first found the volume by packing a solid with unit cubes. Then, you calculated volume using the formula V = lwh (length x width x height)

11. Review Calculating Volume of a Rectangular Prism

12. Review Calculating Volume of a Rectangular Prism Try these yourself:

13. Review Calculating Volume of a Rectangular Prism Try these yourself:

14. Document Camera Get your notebook and pencil ready. Make sure you have the Lesson # and date on your page.

15. Guided Practice Plato stores his baseball cards in a shoe box measuring 8 inches by 14 inches by 6 inches. Socrates stores his football cards in a cake box measuring 1 foot by 1 foot by 5 inches. Whose container has the greater capacity?

16. In your Math Notebook Independent Practice A manufacturer is shipping fabric in boxes which are 24 inches long, 16 inches wide, and 12 inches high. The boxes, when they are full of material, weigh 0.05 pounds per cubic inch. If the entire shipment contains 450 of these filled boxes, what is the total weight of the shipment?

17. In your Math Notebook Independent Practice The pedestal on which a statue is raised is a rectangular concrete solid measuring 9 feet long, 9 feet wide and 6 inches high. How much is the cost of the concrete in the pedestal, if concrete costs $70 per cubic foot? pedestal

18. Lesson Review There are many situations in the real world in which you may need to calculate the volume of a rectangular prism. Such situations may include storage, cost of an item, or the capacity of a container. Remember to use the formula V = length x width x height.

19. In your Math Notebook 1. Gomer is digging a hole for a rectangular well measuring 38 feet long by 22 feet wide by 8 feet deep. How much water will the well hold, assuming that 1 cubic foot = 7.5 gallons. Quick Check

20. In your Math Notebook 2. Concrete costs $105 per cubic yard. Nat is making a rectangular concrete garage floor measuring 33 feet long by 15 feet wide by 1 foot thick. How much will the concrete cost? Quick Check

21. In your Math Notebook rectangular well measuring 38 feet long by 22 feet wide by 8 feet deep. How much water will the well hold, 1 cubic foot = 7.5 gallons. 38 ft x 22 ft x 8 ft = 6,688 cu. ft. 6,688 cu ft. x 7.5 gal/cu. ft. = 50,160 gal. Quick Check - ANSWER

22. In your Math Notebook 2. costs $105 per cubic yard. 33 feet long by 15 feet wide by 1 foot thick. How much will the concrete cost? 11 yd x 5 yd x 1/3 yd = 18 1/3yd or (33ft x 15ft x 1ft) / 3ft per yd 18 1/3 yd x $105 per yd = $1,925 Quick Check

23. Good Work with this lesson. Today you learned how to solve real world problems that involve calculating volume.