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# Surface Area and Volume

# Surface Area and Volume: Volume-O-Rama Quiz

Think you’ve got your head wrapped around

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!***Surface Area and Volume**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*= π

*r*

^{2}

*h*

*V*= ⅓

*Bh*

*V*=

*s*

^{3}

*V*=

^{4}⁄

_{3}π

*r*

^{3}

Q. Which of the following is the formula for the volume of a sphere?

*V*=

*lwh*

*V*= π

*r*

^{2}

*h*

*V*= ⅓

*Bh*

*V*=

*s*

^{3}

*V*=

^{4}⁄

_{3}π

*r*

^{3}

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 2*r*. What is the formula for its volume?Q. A pyramid has a base edge length of

*s*and a height of 3*s*. What is the formula for its volume?*V*=

*s*

^{3}

*V*= 3

*s*

^{3}