Ethan measured a cubic storage room to be 7 meters wide. How many cubic meters does he have for storage space?
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1 Trailers that travel on the road behind trucks are rectangular prisms. A typical height for the inside of these trailers is 108 inches. If the trailer is 8ft wide and 20ft long, what is the volume of the trailer? John added liquid soap to the cylindrical fill cup of his parents' laundry machine. If the cup was 4 centimeters deep with a radius of 5 centimeters, how many cubic centimeters of soap did he need to fill half of it? Ethan measured a cubic storage room to be 7 meters wide. How many cubic meters does he have for storage space? Farmer Jones owns a citrus tree farm in Florida. During some parts of the year the amount of rain in Florida is not sufficient to maintain maximum growth of citrus so farmer Jones is going to buy a water tank. Find how much water it will hold if it is a cylinder with a height of 10 feet and a radius of radius of 5 feet. There are 24 cans of soda and they are arranged in 4 rows of 6. Each can has a radius of 4 cm and a height of 15 cm. These cans are to be packed snuggly into a case with no extra space on the top, bottom, or sides. Calculate how much empty space will not be occupied by a can in the box.
2 A farmer has left you his silo, a 120-ft high cylinder with a 15-ft diameter, and he has told you that it's 65 percent full of feed. What is the volume, in cubic feet of the feed? A cereal box has a length of 8 inches, a width of 1 inches, and a height of 12 inches. What is the volume of the cereal box? A pentagonal prism is a prism that has bases that are pentagons. Use V = Bh where B is the area of the base, to find the volume of the pentagonal prism below. A can of corn has a diameter of 6.6 centimeters and a height of 9.9 centimeters. How much corn can the can hold?
3 Sue is going to build a planter as sketched below. How many cubic feet of dirt will be needed to fill the planter? The town of Old Creek, Oklahoma, has a water reservoir that is shaped like a triangular prism. The area of the triangular surface of the reservoir is 1500 square yards, and the depth is 20 yards. When the reservoir is completely full, how many gallons of water does it hold? (Hint: 1 cubic yard holds approximately 202 gallons.) Although the Eiffel Tower in Paris is not a solid pyramid, its shape approximates that of a pyramid with a square base measuring 120 feet on a side and a height of 980 feet. If it were a solid pyramid, what would be the Eiffel Tower s volume, in cubic feet? After a snow storm, you and a friend decide to build a snowman. You use three spheres of snow to build the snowman. The bottom sphere has a diameter of 4 feet, the middle has a diameter of 2 feet, and the head has a diameter of 18 inches. What is the volume of the snowman? Round your answer to the nearest cubic foot. A spherical scoop of ice cream is placed on a waffle cone. The diameter of the ice cream scoop is 6.4 centimeters. The waffle cone has a diameter of 5 centimeters and a height of 9 centimeters. If all the ice cream melts before you eat any, how much of the melted ice cream will overflow the waffle cone? Round your answer to the nearest tenth. The volume of a cone is 9 cm 3. What is the volume of a cylinder with the same base as the cone and the same height as the cone?
4 Each side of a cube is a square with an area of 49 cm 2. What is the volume of the cube, in cm 3? Carson wanted to make a cylindrical pillow for his mother s birthday. The pillow was to be 15 inches long, with a diameter of 6 inches and would be filled with stuffing. Determine how many cubic inches of stuffing Carson will need to make the pillow.
5 A contractor is installing a new concrete sidewalk. The sidewalk will be 580 feet long, 9½ feet wide and 6 inches deep. Trucks will deliver 10 cubic yards of concrete in each truckload. Determine how many truckloads of concrete the contractor will need to order. Tyesha has decided to build a solid concrete pyramid on her empty lot. The base will be a square that is forty feet by forty feet and the height will be thirty feet. The concrete that she will use to construct the pyramid costs $70 per cubic yard. How much will the concrete for the pyramid cost? NOTE: the area of the base should be 15.6 ft 2
6 Jorge is building a square sandbox with sides 4 feet long. He wants to put sand 1.25 feet deep in the box. How much sand should Jorge order? A fish tank is 25 inches tall and has a base that is 13 inches by 20 inches. You want to fill the tank to a depth of 23 inches. How much water will it take?.
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