Volume
Measurement
Volume
Volume
Measurement
100
What is a unit cube and what is its purpose?
What is A unit cube is a 3-dimensional figure in which each side length is 1 unit. It is used to measure volume, and it has a volume of 1 cubic unit.
100
On August 30, 1991, in Tokyo, Japan, Mike Powell set the world record for the long jump. He jumped 8.95 m. How many centimeters did Mike Powell jump? How do you know?
What is 895cm.
100
A rectangular box has a volume of 30 cubic units. Determine two possible sets of dimensions that could result in this volume. Explain your answers in the space below. Points: 2.0
What is Several answers exist; all must multiply to 30 (e.g., 3 x 5 x 2 or 15 x 1 x 2 or 5x6x1)
100
Find out the volume of a cube with the dimensions 12 m × 3 m × 6 m.
What is 216 cubic meters
100
Jessica's shoe box is 20 centimeters long and 10 centimeters wide. How many more millimeters is the length of the shoe box than the width?
What is Subtract to find the difference in length: 20 cm - 10 cm = 10cm. We need to convert this to millimeters. There are 10 mm in 1 cm. We are converting from a large unit to a smaller one so we multiply. 10 x 10 = 100 millimeters. The shoebox is 100mm longer than it is wide.
200
Explain how a cube measuring 1 cm on each side can be used to measure the volume of a figure.
What is A unit cube is a 3-dimensional figure in which each side length is 1 unit. It is used to measure volume, and it has a volume of 1 cubic unit.
200
A building is built of limestone blocks. Each limestone block is 36 in. high. There are 20 layers of blocks that make up the full height of the building. How many feet high is the building? How do you know?
What is 60 feet; 36 inches is equal to 3 feet, then multiply 3 feet by 20 layers.
200
How much salt is needed to fill a pit that is 10m deep and 8m wide and 12 m long?
What is 960m.
200
Find the volume: base area: 28cm height: 15
What is 420 cubic cm
200
Stan walks 2 kilometers a day. How many meters does he walk in two days?
What is Multiply to find how many kilometers Stan walks in 2 days: 2 km/ day x 2 days = 4 km. There are 1000 m in 1 km. We are converting from a large unit to a smaller one so we multiply. 4 x 1000 = 4000 meters. Stan walks 4000 meters in 2 days.
300
Marco packed a box with several unit cubes without gaps or overlaps. He then emptied the box and counted the cubes. What does that tell him about the box?
This tells him the volume (space inside) the box measured in the units of measurement (inches, cm, etc.) of the cube.
300
Amber is 67 in. tall, and her brother, Paul, is 6 feet 2 in. tall. Who is taller, and by how much?
What is Paul is taller by 7 in.
300
Betsy and Owen each went for a jog on Saturday morning on the walking trail nearby. Betsy ran 3 kilometers and Owen ran 2800 meters. Who ran farther and by how much? Explain your thinking.
What is Betsy ran farther than Owen. Betsy ran 3 kilometers. Owen ran 2800 meters. 1 kilometer = 1000 meters Betsy ran 3,000 meters or 3 kilometers. Betsy ran 200 meters farther, or .2 kilometers, farther than Owen Owen ran 2800 meters or 2.8 kilometers
300
Find the volume: base area: 301cm height: 28cm
What is 8,428 cubic cm.
300
If one paperclip has the mass of 1 gram and 1,000 paperclips have a mass of 1 kilogram, how many kilograms are 8,000 paperclips?
What is Multiply to get a total for 8,000 paperclips: 8,000 x 1 g = 8,000 g. Convert to kilograms. There are 1,000 grams in 1 kilogram. Divide by 1,000: 8,000 ÷ 1,000 = 8. 8,000 paper clips have a total mass of 8 kg.
400
Describe a prism with a volume of 15 cubic units.
What is the prism would hold 15 unit cubes without gaps or overlays and be completely filled; Could be 3 x 5 x 1 or 15x1x1
400
Chase measured a line for his art project. It is 200 millimeters long. How many centimeters is the line?
What is there are 10 mm in 1 cm. We are converting from a small unit to a larger one so we divide. 200 ÷ 10 = 20 centimeters. The line is 20 cm long.
400
Find out the volume of a cube with the dimensions 14 m × 5 m × 16 m.
What is 1,120m.
400
Find the volume: base area: 204 in height: 22 in
What is 4,488 cubic inches
400
Charlie's eraser has a mass of 20 grams. How many milligrams are in 20 grams?
What is Convert 20 grams to milligrams. There are 1,000 milligrams in 1 gram. Multiply by 1,000: 20 x 1,000 = 20,000 milligrams. There are 20,000 milligrams in 20 grams.
500
Monique wants to find the volume of her toy box, which is a rectangular prism. She filled the bottom of the toy box with wooden cubes that measure 1 centimeter on a side and found that 15 rows of 10 cubes fit perfectly. Unfortunately, she does not have any more cubes to fill the toy box. How could Monique determine the volume of the toy box?
What is Monique could use cubes to determine the height of the prism, then multiply that number times the base area to get the volume of the toy box.
500
Cheryl is moving to a new house. Her old house is 3 kilometers from her new house. How many meters is the old house from the new house?
What is There are 1000 m in 1 km. We are converting from a large unit to a smaller one so we multiply. 3 x 1000 = 3000 meters. The old house is 3000 m from the new house.
500
How much sand is needed to fill a pit that is 25m deep and 16m wide and 8 m long?
What is 3,200 cubic meters
500
Find the volume: base area: 108 cm height: 67 cm
What is 7,236 cubic cm.
500
Steven goes to the grocery store and is looking at a winter squash. It has a mass of 1.8 kilograms. How many grams is the winter squash?
What is Convert 1.8 kilograms to grams. There are 1,000 grams in 1 kilogram. Multiply by 1,000: 1.8 x 1,000 g = 1,800 grams. There are 1,800 g in the winter squash.
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