Question

14. Three measuring rods are 64 cm, 80 cm and 96 cm in length. Find the least length of cloth that can be measured an
exact number of times, using any of the rods.​

Answer 1

960 cm is the answer hence solved

Answer 2

Step-by-step explanation:

Length of three measuring rod are 64 cm ,80 cm and 96cm.

length of cloth that can be measure an exact number of times is the LCM of 64,80 and 96.

Find the LCM of 64,80 and 96.

64=2×2×2×2×2×2=2^6

80=2×2×2×2×5=2^4×5

96=2×2×2×2×2×3=2^5×3

LCM(64,80 and 96)=2^6×5×3=64×15=960cm=9.6m