GCSE Secondary Maths Age 13-17 - Shapes & Area: 3D Shapes - Volume - Explained

The video tutorial covers solving a geometry problem involving a triangular prism. It explains the concept of a prism, how to calculate its volume using the area of its cross-section and length, and applies Pythagoras' theorem to find the base of a triangle. The tutorial emphasizes the importance of not rounding off numbers prematurely and provides tips for exam success, including careful use of calculators and remembering key formulas.

What is a key characteristic of a prism?

• It has a circular base.

• It changes shape along its length.

• It maintains the same cross-section throughout.

• It has no vertices.

How do you calculate the volume of a prism?

• Add the area of the base to the height.

• Divide the area of the cross-section by the length.

• Multiply the area of the cross-section by the length.

• Multiply the perimeter by the height.

Which theorem is used to find the base of the triangle in this problem?

• Heron's formula

• Pythagoras' theorem

• The Law of Sines

• The Law of Cosines

What is the formula for the area of a triangle?

• Base times height

• Base times height divided by 2

• Base plus height

• Base minus height

What is the calculated base of the triangle using Pythagoras' theorem?

• 18 cm

• 4.33 cm

• 8.4 cm

• 7.2 cm

What is the final volume of the prism rounded to three significant figures?

• 281 cm³

• 282 cm³

• 279 cm³

• 280 cm³

How many marks were allocated for using Pythagoras' theorem in this question?

• 3 marks

• 4 marks

• 2 marks

• 1 mark