GCSE Secondary Maths Age 13-17 - Shapes & Area: Volume - Problem - Explained

The video tutorial explains a mathematical problem involving a tank and a container, both in the shape of cuboids. The tank is full of oil, and 35% of it is spilled. The remaining oil is transferred to the container. The tutorial guides through calculating the volume of oil spilled, the remaining oil, and the height of the oil in the container. It emphasizes careful reading and calculation, providing a step-by-step approach to solve the problem and discussing the appropriate degree of accuracy for the final answer.

What are the dimensions of the tank?

• 50 by 40 by 30

• 80 by 70 by 20

• 60 by 50 by 40

• 70 by 60 by 50

How much oil is spilled from the tank?

• 50,000 cm³

• 35,000 cm³

• 42,000 cm³

• 78,000 cm³

What is the volume of oil left in the tank after the spill?

• 78,000 cm³

• 42,000 cm³

• 120,000 cm³

• 100,000 cm³

What is the formula used to calculate the height of the oil in the container?

• Volume = Length x Width x Height

• Height = Volume / (Length x Width)

• Volume = Height x Width x Length

• Height = Length x Width / Volume

What is the calculated height of the oil in the container before rounding?

• 14 cm

• 13.9 cm

• 13.9285714286 cm

• 15 cm

What is the final rounded height of the oil in the container?

• 15 cm

• 13 cm

• 13.9 cm

• 14 cm

How many marks are awarded for finding the volume of the oil in the tank before any was spilled?

• Four marks

• Three marks

• Two marks

• One mark