A piece of cable 8.5 cm long weighs 52 grams. What will a 10-cm length of the same cable weigh?
To find the weight of a 10-cm length of the same cable, we can use the concept of proportionality. Let's assume that the weight of the cable is directly proportional to its length.
First, let's determine the constant of proportionality. We know that a cable that is 8.5 cm long weighs 52 grams. Therefore, we can set up the following proportion:
8.5 cm / 52 g = 10 cm / x g
To solve for x, cross-multiply:
8.5 cm * x g = 52 g * 10 cm
Divide both sides of the equation by 8.5 cm:
x g = (52 g * 10 cm) / 8.5 cm
x g = 520 g / 8.5
x g ≈ 61.18 g (rounded to two decimal places)
Therefore, a 10-cm length of the same cable will weigh approximately 61.18 grams.
Solve it with a proportion. Cross multiply and solve for x.
8.5/52 = 10/x