# Similar solids

## Everything You Need in One PlaceHomework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered. | ## Learn and Practice With EaseOur proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals. | ## Instant and Unlimited HelpOur personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now! |

#### Make math click 🤔 and get better grades! 💯Join for Free

##### Intros

##### Examples

###### Lessons

**Identify Similar Solids**Which of the following are similar solids?

**Proof of the Relationships Between Scale Factor, Area Ratio and Volume Ratio**Use the following similar solids to prove the relationships between the scale factor, surface area ratio and volume ratio.

**Given the Scale Factors, Find a Surface Area**Given two similar hemispheres. The radius of the smaller hemisphere is $5m$ and that of the larger hemisphere is $7m$. If the surface area of the larger hemisphere is $147m^{2}$, what is the surface area of the smaller hemisphere?

**Given the Volumes, Find the Scale Factors**Given that the volumes of the two similar prisms are $729cm^{3}$ and $1331cm^{3}$ respectively. What is the scale factor of the smaller prism to the larger prism?

**Scale Factors Doubled, Find a Volume**The dimensions of a pyramid figure with a volume of $24m^{3}$ have been doubled. What is the volume of the new pyramid figure?