GCSE Maths - Volumes of Cylinders and Prisms #112

The video tutorial explains how to calculate the volumes of cylinders and prisms by finding the area of their constant cross-sections and multiplying by their height or length. It provides formulas for both shapes: πR²H for cylinders and 1/2BHL for triangular prisms. The tutorial includes example calculations with specific measurements and discusses other types of prisms, emphasizing that the volume formula remains consistent across different prism types.

What is the key characteristic of cylinders and prisms that allows us to calculate their volume using a simple formula?

• They are always triangular in shape.

• They are always circular in shape.

• They have varying cross-sectional areas.

• They have a constant cross-sectional area.

Which formula represents the volume of a cylinder?

• Volume = π × radius × height

• Volume = π × radius² × height

• Volume = 1/2 × base × height × length

• Volume = base × height × length

How do you calculate the volume of a triangular prism?

• Volume = base × height

• Volume = 1/2 × base × height × length

• Volume = base × height × length

• Volume = π × radius² × height

If a cylinder has a radius of 3 cm and a height of 12 cm, what is its volume in terms of π?

• 36π cm³

• 108π cm³

• 144π cm³

• 72π cm³

What is the volume of a triangular prism with a base of 5 cm, height of 4 cm, and length of 14 cm?

• 180 cm³

• 160 cm³

• 140 cm³

• 120 cm³