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If you cut a 1 -inch square out of each corner of an 8.5-by-11-inch piece of paper and fold it into a box without a lid, what is the volume of the container?

A fish tank 10 by 14 by 12 inches high is the home of a large goldfish named Columbia. She is taken out when her owner cleans the tank, and the water level in the tank drops \(\frac{1}{3}\) inch. What is Columbia's volume?

A trapezoidal pyramid has a volume of \(3168 \mathrm{cm}^{3},\) and its height is \(36 \mathrm{cm}\). The lengths of the two bases of the trapezoidal base are \(20 \mathrm{cm}\) and \(28 \mathrm{cm} .\) What is the height of the trapezoidal base? \((n)\)

Refer to the table. $$\begin{array}{|l|l|l|l|} \hline \text { Metal } & \text { Density } & \text { Metal } & \text { Density } \\\\\hline \text { Aluminum } & 2.81 \mathrm{g} / \mathrm{cm}^{3} & \text { Nickel } & 8.89 \mathrm{g} / \mathrm{cm}^{3} \\\\\hline \text { Copper } & 8.97 \mathrm{g} / \mathrm{cm}^{3} & \text { Platinum } & 21.40 \mathrm{g} / \mathrm{cm}^{3} \\\\\hline \text { Gold } & 19.30 \mathrm{g} / \mathrm{cm}^{3} & \text { Potassium } & 0.86 \mathrm{g} / \mathrm{cm}^{3} \\\\\hline \text { Lead } & 11.30 \mathrm{g} / \mathrm{cm}^{3} & \text { Silver } & 10.50 \mathrm{g} / \mathrm{cm}^{3} \\\\\hline \text { Lithium } & 0.54 \mathrm{g} / \mathrm{cm}^{3} & \text { Sodium } & 0.97 \mathrm{g} / \mathrm{cm}^{3} \\\\\hline\end{array}$$ What is the mass of a solid block of aluminum if its dimensions are \(4 \mathrm{cm}\) by \(8 \mathrm{cm}\) by \(20 \mathrm{cm} ?\)

Find the surface area of a sphere whose volume is \(288 \pi \mathrm{cm}^{3}\) (IMAGE CAN'T COPY)

If you roll an 8.5 -by- 11 -inch piece of paper into a cylinder by bringing the two longer sides together, you get a tall, thin cylinder. If you roll an 8.5 -by- 11 -inch piece of paper into a cylinder by bringing the two shorter sides together, you get a short, fat cylinder. Which of the two cylinders has the greater volume?

Lickety Split ice cream comes in a cylindrical container with an inside diameter of 6 inches and a height of 10 inches. The company claims to give the customer 25 scoops of ice cream per container, each scoop being a sphere with a 3 -inch diameter. How many scoops will each container really hold?

Use this information to solve: Water weighs about 63 pounds per cubic foot, and a cubic foot of water is about 7.5 gallons. A king-size waterbed mattress measures 5.5 feet by 6.5 feet by 8 inches deep. To the nearest pound, how much does the water in this waterbed weigh?

A sculptor has designed a statue that features six hemispheres (inspired by the Medici crest) and three spheres (inspired by the pawnshop logo). He wants to use gold electroplating on the six hemispheres (diameter \(6 \mathrm{cm}\) ) and the three spheres (diameter \(8 \mathrm{cm}\) ), which will cost about \(14 € / \mathrm{cm}^{2} .\) (The bases of the hemispheres will not be electroplated.) Will he be able to stay under his \(\$ 150\) budget? If not, what diameter spheres should he make to stay under budget? (IMAGE CAN'T COPY)

A sphere has a volume of \(972 \pi\) in \(^{3}\). Find its radius.