Vocabulary
What is the formula for Volume?
Volume = Length x Width x Height
A swimming pool is 50 meters long, 15 meters wide, and 3 meters deep. What is the volume of the pool?
The volume of the pool is 2,250 m3.
Calculate the volume.
12 in x 5 in x 6 in =
360 in3
Find the volume of the figure using the area.
Area of the base, b = 42 square meters and height = 3 meters
The volume of the figure is 126 cubic meters or 126 m3.
James adds a section to his cat's box. He knows the original section has a volume of 125 inches3. If the new section is 5 inches long, 3 inches wide, and 7 inches tall, what is the new volume of the cat box?
The new volume of the cat box is 230 inches3.
What is a solid figure with 6 rectangular faces that are not all squares called?
A Rectangular Prism
A swimming pool is 50 meters long, 15 meters wide, and 3 meters deep. After filling the pool for several minutes, the water is 1 meter deep. What is the volume of water in the pool?
The volume of water in the pool is 750 m3.
Calculate the volume.
15 ft x 12 ft x 6 ft =
1,080 ft3
Find the volume of the figure using the area.
Area of the base = 75 square inches and height = 15 inch
The volume of the figure is 1,125 cubic inches, or 1,125 in3.
Julio built a box for his ant farm that measured 2 inches long, 5 inches wide, and 4 inches tall. Later, he added a new section that was 3 inches long, 2 inches wide, and 5 inches tall. What is the volume of the box?
The volume of the box is 70 inches3.
What is a rule that uses symbols to relate two or more quantities?
A Formula
A hay bale measures 100 centimeters long, 40 centimeters wide, and 20 centimeters tall. What is the volume of the bale of hay?
The volume of the bale of hay is 80,000 cm3.
Calculate the volume.
82 cm x 14 cm x 33 cm =
37,884 cm3
Find the volume of the figure using the area.
Area of the base = 22 square feet and height = 7 feet
The volume of the figure is 154 cubic feet , or 154 ft3.
A homeowner wants to add an addition to a room. The original room is 12 feet long, 15 feet wide, and 10 feet tall. The addition would be 5 feet long, 3 feet wide, and 8 feet tall. What is the new volume of the room with the addition?
The new volume of the room is 1,920 feet3.
What is 'the number of same-size unit cubes that fills a sold figure without overlaps or gaps' referring to?
Volume
A hay bale measures 100 centimeters long, 40 centimeters wide, and 20 centimeters tall. Another 10 cm of hay is added to the top of the bale. What is the volume of the bale of hay now?
The new volume of the bale of hay is now 120,000 cm3.
Calculate the volume.
100 m x 25 m x 46 m =
115,000 m3
Find the volume of the figure using the area.
Area of the base = 85 square centimeters and height = 36 centimeters
The volume of the figure is 3,060 cubic centimeters, or 3,060 cm3.
Mina built a crate to hold hay for her horses. The crate was 3 feet wide, 4 feet long, and 4 feet tall. Then , Mina's mom bought three more horses, so Mina expanded the crate. She added an addition which was 7 feet long, 3 feet wide, and 4 feet tall. What is the volume of hay Mina can put into the crate?
The volume of hay Mina can put into the crate is 132 feet3.
What label do you use with a two-dimensional shape?
What label do you use with a three-dimensional shape?
You use unit2, or square units, for a two-dimensional shape.
You use unit3, or cubic units, for a three-dimensional shape.
Julio used 1 centimeter, green, base-ten cubes to build a tower. The tower was 30 cubes long, 15 cubes wide and 12 cubes tall. How many cubes did he use to build his tower?
Julio used 5,400 cubes to build his tower.
Calculate the volume.
56 km x 92 km x 125 km =
644,000 km3
Find the volume of the figure using the area.
Area of the base = 125 square millimeters and height = 97 millimeters
The volume of the figure is 12,125 cubic millimeters, or 12,125 mm3.
After building a clay project, you need to fill it with liquid. Your teacher says your creation must be able to hold 1 cubic foot of water, using the smallest amount of clay possible. You build a box that is 7 inches long, 3 inches wide, and 8 inches tall. Will your box be big enough?
No, the box will not be big enough.
7 in x 3 in x 8 in = 168 in3
1 cubic foot = 1 foot tall, 1 foot long, 1 foot wide
1 foot = 12 inches
12 in x 12 in x 12 in = 1,728 inches3