Calculating Area and Volume

The video tutorial explains the concept of prisms and how to calculate their volume by finding the area of the front shape and multiplying it by the depth. It provides examples with different shapes, including triangles, rectangles, and trapeziums, and demonstrates solving word problems involving unit conversion. The tutorial concludes with practice questions to reinforce the learning.

What is the first step in finding the volume of a prism?

• Multiply the base by the height

• Find the area of the front shape

• Calculate the perimeter of the base

• Measure the height of the prism

How do you calculate the area of a triangle?

• Sum of all sides

• Base times height

• Base times height divided by two

• Length times width

What is the volume of a prism with a rectangular front of area 30 m² and depth 4 m?

• 150 m³

• 60 m³

• 120 m³

• 90 m³

How do you find the area of a composite shape with two rectangles?

• Add the areas of the two rectangles

• Multiply the areas of the two rectangles

• Subtract the smaller area from the larger area

• Divide the larger area by the smaller area

What is the formula for the area of a trapezium?

• Base times height

• Half the sum of the parallel sides times the height

• Length times width

• Sum of all sides

How many liters are in 120,000 cm³?

• 1,200 liters

• 120 liters

• 12 liters

• 1,000 liters

If water flows at 3 liters per second, how long will it take to fill a 120-liter container?

• 60 seconds

• 30 seconds

• 40 seconds

• 50 seconds

What is the volume of a prism with a triangular front of area 22.5 cm² and depth 12 cm?

• 135 cm³

• 225 cm³

• 270 cm³

• 180 cm³

How do you calculate the area of a trapezium with parallel sides of 9 cm and 13 cm, and height 5 cm?

• 110 cm²

• 45 cm²

• 55 cm²

• 65 cm²

What is the volume of a prism with a trapezium front of area 55 cm² and depth 6 cm?

• 275 cm³

• 330 cm³

• 300 cm³

• 350 cm³