(06.03 MC) A large emerald with a mass of 982.7 grams was recently discovered in a mine. If the density of the emerald is 2.76, what is the volume? Round to the nearest hundredth when necessary, and only enter numerical values, which can include a decimal point.

(06.01 MC) Jude says that the volume of a square pyramid with base edges of 12 in and a height of 10 in is equal to the volume of a cylinder with a radius of 6.77 in and a height of 10 in. Jude rounded his answers to the nearest whole numbers. Examine Jude’s calculations. Is he correct? Volume of Square Pyramid Volume of Cylinder V = B(h) V = πr2h V = (144)(10) V = π(6.772)(10) V = (1440) π(45.8329)(10) V = 480 in3 V = π(458.329)   V ≈ 480 in3

(06.03 MC) A large emerald with a mass of 812.04 grams was recently discovered in a mine. If the density of the emerald is 2.76, what is the volume? Round to the nearest hundredth when necessary, and only enter numerical values, which can include a decimal point.

(06.04 MC) What is the surface area of a square prism with sides that measure 8 units?

(06.01 MC) A square prism and a cylinder have the same height. The area of the cross-section of the square prism is 157 square units, and the area of the cross-section of the cylinder is 50π square units. Based on this information, which argument can be made?

(06.02 LC) A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 9 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 12 inches. Which of the following could be used to calculate the volume of water in the vase?

(06.03 MC) The population density of Appleland is 12 apple trees per acre. Exactly 792 apple trees grow in Appleland. How many acres are in Appleland?

(06.03 MC) What is the weight (in grams) of a liquid that exactly fills a 465 milliliter container if the density of the liquid is 0.982? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point.

(06.04 LC) If a right triangle was rotated about the y-axis, like the one shown below, what would be the resulting three-dimensional shape?

(06.01 MC) A triangle has sides that measure 4 units, 6 units, and 7.21 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3.14 for π, and round your answer to the nearest whole number.