Similar Shapes

A company makes monsters.

The company makes small monsters with a height of 20cm.

A small monster has a surface area of 300cm².

The company also makes large monsters with a height of 120cm.

A small monster and a large monster are mathematically similar.

How many cm² is the surface area of the large monster?

Solid A has a volume of 80cm³.

How many cm³ is the volume of solid B?

Solid B has a total surface area of 160cm².

How many cm² is the volume of solid A?

P and Q are two triangular prisms that are mathematically similar.

How many cm³ is the volume of prism Q?

ABCD and AEFG are mathematically similar trapezia.

How many cm is AB?

Trapezium AEFG has an area of 36cm².

How many cm² is the area of the shaded region?

A and B are two mathematically similar shapes.

surface area of shape A : surface area of shape B = 3 : 4

The volume of shape B is 10cm³

How many cm³ is the volume of shape A?