Properties of 3D shapes

Here is a cuboid.

Complete the drawing of the net on the centimetre grid.

Here is a solid prism.

How many faces does the prism have?

The prism has volume = 3500cm³ and length = 20 cm

Work out the area of the cross-section of the prism.

Here is a solid prism.

How many faces does the prism have?

The prism has volume = 3500cm³ and length = 20 cm

Work out the area of the cross-section of the prism.

Here is a right-angled triangular prism.

The ratio of the edges is a: b: c: d = 3: 4: 5: 12

Work out the total length of all of the edges of the prism.

Here are three solids.

Cube Square-based Cone

How many faces does the cube have?

How many edges does the square-based pyramid have?

How many vertices does the cone have?

How many edges does a triangular prism have?

Here is a cuboid. w, x and y are different whole numbers.

The total length of all the edges of the cuboid is 80 cm The volume is greater than 200 cm³ Work out one possible set of values for w, x and y.

Here is a solid cube.

Circle the expression for the total surface area in cm²

Here is a cuboid. w, x and y are different whole numbers.

The total length of all the edges of the cuboid is 80 cm The volume is greater than 200 cm³ Work out one possible set of values for w, x and y.

Here is a solid cube.

Circle the expression for the total surface area in cm²

Circle the solid that has six edges.

triangular-based sphere cube cylinder pyramid

The cross section of a prism has n sides. Circle the expression for the number of faces of the prism.

n 2 n 3 n n + 2

Circle the solid that has 7 vertices.

hexagonal hexagon-based pentagonal pentagon-based prism pyramid prism pyramid

Which of these is a correct statement about a cube?

Tick one box.

Circle the solid that has six vertices.

cone cuboid triangular prism square-based pyramid

Circle the shape that has a uniform cross section.

cone sphere cylinder pyramid

The cross section of a prism has n sides. Circle the expression for the number of edges of the prism.

2 n 3 n n + 2 2 n + 3

How many edges are there on a square-based pyramid? Circle your answer.

4 5 8 12

How many faces of a triangular prism are triangles? Circle your answer.

2 3 4 5