Understanding Volume Calculations with Marbles and Water

The video tutorial explains how to determine the volume of a marble when placed in a 26-liter tank. William uses 85 marbles and fills the rest with 20.9 liters of water. The tutorial sets up an equation to find the volume of one marble and solves it, resulting in 0.06 liters per marble. It further explores how much water is needed if 200 marbles are used, calculating that 14 liters of water would be required.

What is the total volume of the tank William is using?

• 30 liters

• 26 liters

• 20 liters

• 35 liters

Tags

CCSS.3.MD.A.2

How many marbles does William initially use in the tank?

• 50 marbles

• 75 marbles

• 85 marbles

• 100 marbles

Tags

CCSS.3.MD.A.2

What equation represents the relationship between the volumes of marbles, water, and the tank?

• Volume of marbles + Volume of water = Volume of tank

• Volume of marbles = Volume of water + Volume of tank

• Volume of water = Volume of marbles + Volume of tank

• Volume of tank = Volume of marbles - Volume of water

Tags

CCSS.3.MD.A.2

What is the volume of each marble?

• 0.05 liters

• 0.06 liters

• 0.08 liters

• 0.07 liters

Tags

CCSS.5.MD.A.1

How much water is needed if William uses 85 marbles?

• 15.5 liters

• 5.1 liters

• 20.9 liters

• 10.3 liters

Tags

CCSS.HSF-BF.A.1A

What is the function used to calculate the water needed based on the number of marbles?

• W = 26 + 0.06 * number of marbles

• W = 0.06 + 26 * number of marbles

• W = 26 - 0.06 * number of marbles

• W = 0.06 * number of marbles - 26

Tags

CCSS.3.MD.A.2

If no marbles are used, how much water is needed to fill the tank?

• 26 liters

• 10 liters

• 0 liters

• 20 liters

Tags

CCSS.5.MD.A.1

How much water is required if William uses 200 marbles?

• 14 liters

• 16 liters

• 12 liters

• 10 liters

Tags

CCSS.3.MD.A.2

What is the volume of marbles when 200 marbles are used?

• 10 liters

• 12 liters

• 14 liters

• 16 liters

Tags

CCSS.3.MD.A.2

What is the final step in calculating the water needed for 200 marbles?

• Subtracting 12 from 26

• Dividing 12 by 26

• Multiplying 12 by 26

• Adding 12 to 26

Tags

CCSS.3.MD.A.2