Volume and Properties of Tanks

The video tutorial explains how to calculate the volume of water in a tank with a solid metal box inside. It begins by describing the dimensions of both the tank and the box. The instructor then visualizes the setup and explains the process of calculating the volumes of the tank and the box. The key step involves subtracting the volume of the metal box from the volume of the tank to find the volume of water that can fill the tank. The tutorial concludes with the final calculation, resulting in a water volume of 316 cubic feet.

What are the dimensions of the water tank?

• 12 feet high, 5 feet long, 9 feet wide

• 10 feet high, 6 feet long, 8 feet wide

• 15 feet high, 4 feet long, 7 feet wide

• 12 feet high, 4 feet long, 9 feet wide

How tall is the metal box placed inside the tank?

• 6 feet

• 5 feet

• 7 feet

• 8 feet

What is the purpose of making the tank transparent in the visualization?

• To see the color of the water

• To observe the metal box inside

• To measure the water level

• To check the tank's material

Why can't water fill the space occupied by the metal box?

• The box is too heavy

• The box is solid

• The box is floating

• The box is leaking

What is the formula used to calculate the volume of the tank?

• Length x Width + Height

• Length x Width x Height

• Length + Width + Height

• Length + Width x Height

What is the first step in calculating the volume of the tank?

• Measure the height

• Calculate the area of the base

• Subtract the box volume

• Fill the tank with water

What is the volume of the metal box?

• 224 cubic feet

• 240 cubic feet

• 200 cubic feet

• 210 cubic feet

How do you find the volume of water in the tank?

• Subtract the volume of the box from the tank

• Add the volume of the tank and the box

• Multiply the volume of the tank by the box

• Divide the volume of the tank by the box

What is the final volume of water in the tank?

• 224 cubic feet

• 316 cubic feet

• 540 cubic feet

• 400 cubic feet

What is the significance of the blue box in the visualization?

• It represents the tank's base

• It represents the metal box

• It represents the water

• It represents the air