Calculating Volume of Rectangular Prisms

The video tutorial explains how to calculate the volume of water displaced by marbles in a fish tank. It begins by describing the dimensions of Mario's fish tank, a right rectangular prism, and visualizing it. The tutorial then discusses how the water level changes when marbles are added and removed, leading to a drop in water level. The main focus is on calculating the volume of water displaced by the marbles, using the dimensions of the tank and the change in water height. The tutorial provides a detailed, step-by-step calculation process, resulting in a final volume of 56.16 cubic centimeters.

What shape is Mario's fish tank?

• Right rectangular prism

• Cone

• Cylinder

• Sphere

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What are the base dimensions of Mario's fish tank?

• 12.5 cm by 6.5 cm

• 15.6 cm by 7.2 cm

• 14.0 cm by 7.0 cm

• 16.0 cm by 8.0 cm

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

To what height is the tank initially filled with water?

• 5.0 cm

• 6.0 cm

• 7.5 cm

• 6.4 cm

Tags

CCSS.3.MD.A.2

What happens to the water level when the marbles are removed?

• It fluctuates

• It remains the same

• It increases

• It decreases

Tags

CCSS.3.MD.A.2

By how much does the water level drop when the marbles are removed?

• 0.7 cm

• 0.3 cm

• 0.5 cm

• 1.0 cm

Tags

CCSS.3.MD.A.2

What is the new water level after the marbles are removed?

• 6.0 cm

• 5.5 cm

• 5.4 cm

• 5.9 cm

Tags

CCSS.3.MD.A.2

What is the volume of water displaced by the marbles?

• 60.00 cubic centimeters

• 65.00 cubic centimeters

• 56.16 cubic centimeters

• 50.00 cubic centimeters

Tags

CCSS.3.MD.A.2

What mathematical operation is used to calculate the volume of the displaced water?

• Division

• Addition

• Subtraction

• Multiplication

Tags

CCSS.3.MD.A.2

What is the height of the displaced water volume?

• 0.3 cm

• 0.7 cm

• 1.0 cm

• 0.5 cm

Tags

CCSS.3.MD.A.2

What does the volume calculation involve?

• Length, width, and height

• Length and width only

• Base area and height

• Diameter and height

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4