GCSE Secondary Maths Age 13-17 - Geometry & Measures: Volume of a Prism - Explained

The video tutorial explains how to calculate the volume of a tank with a trapezium cross-section and determine how long it takes to fill the tank to 85% capacity with oil flowing at a constant rate. It covers the conversion of volume from cubic meters to liters, the calculation of additional oil needed, and the time required for the oil to fill the tank. The tutorial also discusses the impact of assumptions about the flow rate on the calculations.

What is the shape of the cross-section of the prism-shaped tank?

• Triangle

• Trapezium

• Circle

• Rectangle

How many liters are equivalent to 1 cubic meter?

• 2000 liters

• 1500 liters

• 1000 liters

• 500 liters

What is the total volume of the tank in cubic meters?

• 14.6 cubic meters

• 13.2 cubic meters

• 12.8 cubic meters

• 10.5 cubic meters

How many liters of oil are needed to fill the tank to 85% of its capacity?

• 13,200 liters

• 11,220 liters

• 12,000 liters

• 10,000 liters

If the flow rate is 300 liters per minute, how many more minutes are needed to fill the tank to 85%?

• 46.4 minutes

• 40.4 minutes

• 36.4 minutes

• 30.4 minutes

What would happen to the time required if the flow rate were slower?

• It would take more time

• It would take less time

• It would not affect the time

• It would take the same time

What is the importance of understanding the flow rate assumption in this problem?

• It is not important

• It affects the time calculation for filling the tank

• It determines the shape of the tank

• It helps in calculating the exact volume