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Lesson: Identifying Similarity of Solids to Find Their Dimensions, Surface Area, and Volume

Learn how to identify the similarity of two given solids based on a constant ratio between every corresponding two dimensions. When two solids are similar, any unknown dimension, surface area, and volume can be calculated in one of the figures provided the dimensions of the other are known.

Worksheet: Identifying Similarity of Solids to Find Their Dimensions, Surface Area, and Volume • 12 Questions

Q1:

Given that these two triangular prisms are similar, find the value of .

Q2:

Given that these two triangular prisms are similar, find the value of .

Q3:

If the two given pyramids are similar and the volume of the larger pyramid is 160 m³, find the volume of the smaller one.

Q4:

The figure shows two cubes. If the area of the smaller one is 143, and the sides are in the ratio , what is the surface area of the larger cube?

Q5:

If the pair of triangular prisms are similar, and the surface area of the smaller one is 198 yd², find the surface area of the larger one.

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