## How do you work out the volume of two similar solids?

If two solids are similar, then the ratio of their volumes is equal to the cube of the ratio of their corresponding linear measures.

## How do you find the volume of a similar solid?

Step 1: Find the ratio of the side lengths or dimensions of the two similar solids. Step 2: Cube the ratio from Step 1, which gives the ratio of the volumes of the two similar solids. Step 3: Use the given volume of the solid and the ratio of the volumes from Step 2 to find the volume of the similar solid.

**How do you find the missing dimensions of similar solids?**

To find the missing measure of similar solids, set up a proportion of corresponding dimensions. Then, cross multiply and divide. To find the surface are of similar solids, set up a ratio of surface area equal to the squared ratio of given linear measures. Then cross multiply and divide.

**How do you find the volume of a shape when given the surface area?**

The volume of a solid is the amount the shape contains. Volume is a measure of capacity and is measure in cubic units. To calculate the volume of a rectangular prism, multiply the area of the base (length × width) times height.

### Are the two solids similar?

Two shapes are similar if all their corresponding angles are congruent and all their corresponding sides are proportional. Two solids are similar if they are the same type of solid and their corresponding radii, heights, base lengths, widths, etc. are proportional.

### How are solids similar?

Similar solids are those that have the same shape but not the same size, which means corresponding segments are proportional and corresponding faces are similar polygons.

**How do you find out the volume of a shape?**

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height. How you refer to the different dimensions does not change the calculation: you may, for example, use ‘depth’ instead of ‘height’.

**How do you find the volume of an area?**

To find the volume of a cube from its surface area, first use the formula for surface area to find the length of one side of your cube. To do this, plug the surface area you’re given into the formula, which is surface area = 6x^2, where x is the length of one side of the cube. Then, solve for x.

## How do you determine if shapes are similar?

When a shape is enlarged, the image is similar to the original shape. It is the same shape but a different size. These two shapes are similar as they are both rectangles but one is an enlargement of the other.