A lawn chair weighs 8Ib. A child's lawn chair has dimensions exactly one half those of the larger chair. How many pounds does the child's chair weigh?
To find the weight of the child's lawn chair, we can use the concept of ratios and proportions.
We know that the dimensions of the child's chair are exactly one half those of the larger chair. Since weight is directly proportional to volume, we can use the ratios of their dimensions to find the ratio of their weights.
Let's compare the dimensions of the child's chair to the larger chair:
- Length: child's chair = 1/2 * larger chair
- Width: child's chair = 1/2 * larger chair
- Height: child's chair = 1/2 * larger chair
To find the ratio of their weights, we cube each ratio because weight is proportionate to volume:
- Volume ratio: (1/2)^3 : 1^3 = 1/8 : 1 = 1/8
Since the volume ratio is 1/8, we can conclude that the weight ratio is also 1/8.
Now, let's use this weight ratio to find the weight of the child's chair:
- Weight of the child's chair = Weight of the larger chair * Weight ratio
- Weight of the child's chair = 8 Ib * 1/8
- Weight of the child's chair = 1 Ib
Therefore, the child's lawn chair weighs 1 pound.