Similar Solids and Missing Lengths

Each pair of shapes are similar. Find the missing length.

• 12 cm

• 11 cm

• 10 cm

• 9 cm

Each pair of shapes are similar. Find the missing length.

• 5 cm

• 5.5 cm

• 6 cm

• 6.5 cm

Each pair of shapes are similar. Find the missing volume.

Each pair of shapes are similar. Find the missing surface area.

Two vases are similar. The smaller vase holds 800 ml. How much does the larger vase hold?

Two barrels are mathematically similar. It takes 90ml of paint to paint the smaller barrel. How much paint is needed for the larger barrel?

Alec makes two solid mathematically similar models of the Titanic. The smaller model had a length of 10cm. The larger model had a length of 45cm. The mass of the larger model is 7.29 kg. Work out the mass of the smaller model. Write your answer without the unit.

Find the length of the missing side.

The two circles, A and B, are mathematically similar.
The lengths in B are triple the lengths in A.
The area of A is 15 cm² . Find the area of B.

• 135 cm²

• 145 cm²

• 155 cm²

• 125 cm²

Two cubes, A and B, are mathematically similar.
The volumes of A and B are 18 cm³ and 144 cm³ , respectively.
The height of A is 8 cm. Find the corresponding height of B.

• 12 cm

• 20 cm

• 16 cm

• 10 cm