For problems #1 through #4, identify which type of measurement would be appropriate for the scenario
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| 1) What would be the type of measurement used to calculate the amount of wrapping paper needed to wrap a birthday present? Volume or Surface Area
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| 2) What would be the type of measurement used to calculate the amount of siding needed to cover the outer walls of a garage? Volume or Surface Area
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| 3) What would be the type of measurement used to calculate the amount of water a tank will hold? Volume or Surface Area
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| 4) What would be the type of measurement used to calculate the amount of liquid medicine in a bottle? Volume or Surface Area
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Volume of a Rectangular Prism
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| 5) Find the volume of a rectangular prism that has a length of 5 ft, a width of 6 ft, and a height of 14 ft.
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Surface Area of a Rectangular Prism
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| 6) Find the surface area of this rectangular prism that has a length of 5 ft, a width of 6 ft, and a height of 14 ft.
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| 7) You need to wrap a Christmas present for your friend. The box the gift is in has a length of 12 inches, a width of 8 inches, and a height of 7 inches. How much wrapping paper do you need?
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| 8) Find the volume of a cylinder that has a radius of 9 cm and a height of 15 cm. |
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| 9) How much salsa is missing from the can below? Hint: You may need to subtract the heights. |
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Surface Area of a Cylinder
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| 10) Find the surface area of a cylinder that has a radius of 9 cm and a height of 15 cm.
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In your home find a rectangular prism. Estimate its surface area and its volume. Measure its dimensions and then determine the surface area and volume. Record the results in the chart below making sure to label all answers correctly, and then answer the questions #11 through #13.
Estimation Chart
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| 11) State the rectangular prism that you found along with its length, width, and height.
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| 12) What estimate did you make for the surface area and volume of the rectangular prism?
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| 13) What is the rectangular prism’s actual surface area and volume?
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In your home find a cylinder. Estimate its surface area and its volume. Measure its dimensions and then determine the surface area and volume. Record the results in the chart below making sure to label all answers correctly, and then answer the questions #14 through #17.
Estimation Chart
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| 14) State the cylinder that you found along with its radius and height.
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| 15) What estimate did you make for the surface area and volume of the cylinder?
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| 16) What is the cylinder’s actual surface area and volume?
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| 17) Explain the difference between volume and surface area.
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| 18) State the letter and the answer to the given questions.
a. Estimate the circumference of a bicycle tire or a car’s tire at your home. State the estimate.
b. Measure the radius of the tire to the nearest half-inch. State the measurement.
c. Find the distance around the tire, its circumference.
d. How close was your estimate to the actual circumference?
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| 19) Martha wants to put carpeting in her bedroom. The length of her room is 12 feet and the width is 10 feet 6 inches. How much carpet will she need to buy? (Hint: 1 sq yd = 9 sq ft)
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| 20) Study the picture of a solid pyramid shown below. It has four faces. How many vertices does it have and how many edges does it have?
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| 21) George has a square garden with an area of 25 square feet. He doubles both the length and width of his garden. State the letters and answers to the questions given.
a. Draw a diagram to show George’s garden after its length and width are doubled. State the length and width of the new square.
b. What is the new area of his garden?
c. How many times greater is his new garden’s area than his original garden’s area?
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| 22) What is the perimeter of a square that has an area of 25 square feet?
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| 23) Convert. 5000 mm = ___________ cm
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| 24) Convert. 12.3 g = _______________ mg
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| 25) Convert. 400 mL = ______________ L
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| 26) Convert. 4600 g = _______________ kg
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| 27) Convert. 9 m = ____________ cm
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| 28) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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