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Similar Solids

# Similar Solids

The figures below are similar. What is t?

Corresponding lengths of similar figures are proportional.

Look at the similar figures and find two pairs of corresponding lengths. One pair of corresponding lengths is 6 yards and 3 yards. Another pair of corresponding lengths is 8 yards and t.

Use these two pairs of corresponding lengths to set up a proportion and solve for t.

 $\frac{6}{3}$
=
 $\frac{8}{t}$
Plug in the pairs of corresponding lengths

6t = 8 × 3 Find the cross products

6t = 24 Simplify

6t ÷ 6 = 24 ÷ 6 Divide both sides by 6

t = 4

The missing length is 4 yards.

The figures below are similar. What is b?

 21 in 7 in 6 in b

b = in