- Lorenzo’s swimming pool has a diameter of 10 feet and a depth of 4 feet. If water costs $0.04 per cubic foot, about how much will it cost Dan to fill his swimming pool?
2. Miranda drew the following net for a square pyramid.
If the volume of the pyramid is 48cubic inches, what is x?
3. A cereal company has come out with a new breakfast cereal called "Super Fruity Loops". The new box created to put the cereal in is 2 in wide, 11 in long, and 1 foot tall. The marketing department needs to create the designs to decorate the entire box. How big does their box design need to be?
4. Mrs. Nelson bought a cement doorstop shaped like a triangular prism. If she wants to paint the entire surface of the doorstop, including the base, what is the area in square inches that she must paint?
5. A cylinder is shown below.
If the cylinder represents a can of green beans, how many square centimeters of paper would be needed to make the labels for 12 cans?
6. Eduardo wants to paint his bedroom which is 12 feet by 11 feet, with a 10-foot high ceiling. Without considering the doors and windows, how many square feet of paint will Eduardo need to purchase?
7. You are having a pool party at your house and need to inflate the beach balls. Each beach ball has a diameter of 40 centimeters. If there are 6 beach balls that need to be inflated, how many cubic centimeters of air will you need to fill them?
8. The water cooler outside of the doctor's office has cone shaped drinking cups available for the patients to use. The radius of the drinking cup is 4 cm, and the height is 9 cm. If Ray fills her cup halfway, describe the process needed to find how many cubic centimeters of water are in the cup.
9. The base of a triangular pyramid is a right triangle. One leg is 3 inches and the hypotenuse is 5 inches. If the height of the pyramid is 9 inches, what is its volume?
10. A cylinder has a volume of about 785 cm3 and a height of 10 cm. What is the length of the radius?
11. Suppose you want to buy concrete for a 10 ft by 8ft by ft patio. If the concrete costs $0.45/in3, how much will the concrete for the patio cost?
12. Madison has 5 cube shaped candy dishes that are each 3 cm long. How much candy will the dishes hold? (Round to the nearest cubic centimeter)
Usefor questions 14-16.
14. If is translated so that point is on the x-axis and the coordinates of point are (4, 6), find the new coordinates of point .
15. If is reflected across the y-axis, what will the coordinates of R’, S’, and T’ be?
16. If is rotated 270° counterclockwise about the origin, find the coordinates of R’.