Question

A piece of wood is divided into three pieces in the ratio 6:8:4. The length of the longest pieces is 144cm. Calculate the length of the wood.

Answer 1

3.24m

the longest piece will be associated with 8 parts of the ratio.

divide 144 by 8 to find 1 part of the ration then multiply this value by 6 and 4 for the remaining parts of the ratio

$\frac{144}{8}$ = 18 cm ← 1 part

6 parts = 6 × 18 = 108 cm

4 parts = 4 × 18 = 72 cm

length = 144 + 108 + 72 = 324 cm = 3.24m

Answer 2

Answer: 324 cm

Step-by-step explanation:

  6 :   8 :   4

x18 x18  x18

108  144   72

108 + 144 + 72 = 324