Volume word problem | Measurement | Pre-Algebra | Khan Academy

TL;DR

Calculate the volume of water in a tank by subtracting the volume of a metal box inside it.

Transcript

A water tank is 12 feet high, 5 feet long, and 9 feet wide. A solid metal box which is 7 feet high, 4 feet long, and 8 feet wide is sitting at the bottom of the tank. The tank is filled with water. What is the volume of the water in the tank? So let's think about this. We have a water tank. It's 12 feet high. I'll try to draw this as good as I can.... Read More

Key Insights

• 🔇 The volume of the water in the tank can be calculated by subtracting the volume of the metal box from the volume of the tank.
• 🦶 The dimensions of the tank are 12 feet in height, 5 feet in length, and 9 feet in width.
• 🦶 The metal box measures 7 feet in height, 4 feet in length, and 8 feet in width.
• 💦 The volume of the water in the tank is 316 cubic feet.
• 💦 The metal box prevents water from filling its volume within the tank.
• 🦶 The tank volume is 540 cubic feet, while the metal box volume is 224 cubic feet.
• 👾 The remaining volume results in the water filling up the tank, excluding the space occupied by the metal box.

Questions & Answers

Q: How do you calculate the volume of the water in the tank?

The volume is determined by subtracting the volume of the metal box (224 cubic feet) from the volume of the tank (540 cubic feet), resulting in 316 cubic feet.

Q: Why can't the water fill the metal box?

The metal box is solid, so it cannot be filled with water. It prevents the water from occupying its volume within the tank.

Q: Can you explain the dimensions of the metal box?

The metal box measures 7 feet in height, 4 feet in length, and 8 feet in width. These dimensions determine the volume of the metal box.

Q: Is the metal box completely submerged in the water?

No, the metal box sits at the bottom of the tank without being filled by water. The water level fills the tank up to the top, excluding the space occupied by the metal box.

Summary & Key Takeaways

• The water tank is 12 feet high, 5 feet long, and 9 feet wide.

• There is a solid metal box at the bottom of the tank, measuring 7 feet high, 4 feet long, and 8 feet wide.

• To find the volume of the water in the tank, subtract the volume of the metal box from the volume of the tank.