Think you’ve got your head wrapped around Surface Area and Volume? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. Which of the following is an appropriate unit for volume?
Pounds cubed
Feet squared
Meters per second
Inches cubed
Grams per milliliter
Q. Which of the following is the formula for the volume of a rectangular prism?
V = lwh
V = πr2h
V = ⅓Bh
V = s3
V = 4⁄3πr3
Q. Which of the following is the formula for the volume of a sphere?
V = lwh
V = πr2h
V = ⅓Bh
V = s3
V = 4⁄3πr3
Q. What does Cavalieri's principle tell us?
If two solids have the same volume, they must be congruent
If two solids have the same cross-sectional areas at every level, they must be congruent
If two solids have the same cross-sectional areas at every level, they must have the same volume
If two solids have the same surface area, they must have the same volume
If two solids have the same volume, they must have the same surface area
Q. Which of the following is an appropriate unit for density?
Meters per second
Liters
Tons per square mile
Feet per ounce
Inches per day
Q. A tub of popcorn in the shape of a cylinder has a diameter of 6 inches and a height of 10 inches. How much popcorn can it actually hold?
283 square inches of popcorn
377 square inches of popcorn
565 square inches of popcorn
739 square inches of popcorn
1131 square inches of popcorn
Q. A see-through box is filled to the brim with jellybeans. If you can guess how many jellybeans are in the box, you get to keep them all. If the box has dimensions of 1 foot, 3 feet, and 4 feet and each jellybean is about 0.5 cubic inches, approximately how many jellybeans would you guess are in the box? Remember that there are 12 inches in a foot.
300 jellybeans
3,500 jellybeans
11,600 jellybeans
21,000 jellybeans
41,500 jellybeans
Q. A glass in the shape of a cylinder can hold about 254.5 mL (1 mL = 1 cubic centimeter) of Mountain Dew, only the best drink ever. If the height of the cup is 9 centimeters, what is the circumference of the glass?
3.0 centimeters
9.0 centimeters
18.8 centimeters
37.7 centimeters
56.5 centimeters
Q. A cone has a radius r and a height 2r. What is the formula for its volume?
Q. A pyramid has a base edge length of s and a height of 3s. What is the formula for its volume?
V = s3
V = 3s3