A cylinder is a 3D shape with a base that is a circle and a parallel opposite face that is identical. A cross-section of a cylinder made parallel to the base will be congruent to the base.

Volume is the amount of space occupied by a closed 3D shape.

Checking and securing understanding of volume of a cylinder

Maths

In this unit, pupils have increased their knowledge of volume which is used in the compound measures unit as the formula for density involves volume. 

In the prior unit, pupils built upon their learning of the area of different shapes. In this unit, pupils will continue to further develop their understanding of shapes by considering surface area and volume of pyramids, spheres and cones.

2D and 3D shape: surface area and volume (pyramids, spheres and cones)

Which of these is the formula for the volume of a cylinder?

Which of these are correct for the volume, $$V$$, of this cylinder?

Calculate the volume of this semi-cylinder. Give your answer correct to 3 significant figures.

A cylinder fits perfectly inside a cube. The volume of the cube is 1728 cm³. The volume of the cylinder in terms of π is {{}}π cm³.

The volume of this cylinder is 360π cm³ . The radius of the cylinder is {{ }} cm.

This prism has two congruent regular octagonal faces and {{}} congruent rectangular faces.

Izzy takes some measurements from a cube. Match each measurement to its correct value.

The surface area of this octagonal prism is {{ }} cm².

Dimensions of rectangle in the net: 6 cm by 320 cm

Dimensions of rectangle in the net: 6 cm by 70 cm

Total surface area = (320 + 5 × 70) cm²

Total surface area = (2 × 320 + 70 × 6) cm²

Total surface area = (2 × 320 + 5 × (70 × 6)) cm²

The diagram shows a prism unfolded into its net. The perimeter of the cross-sectional face is 70 cm. Which of these statements are correct?

The diagram shows the net of a triangular prism. The depth of the prism is 4 cm. The surface area of the prism that can be formed from this net is {{ }} cm². 

The cross-section of this prism is an equilateral triangle. The surface area of this triangular prism is {{ }} cm². Give your answer correct to 3 significant figures.

This lesson will be removed by end of Summer Term 2025.

Checking and securing understanding of volume of a cylinder

Lesson outcome

This lesson will be removed by end of Summer Term 2025.