The total height of 5 identical boxes is 62.5 cm.
Find the total height of 3 such boxes.
To find the total height of 3 boxes, we need to use proportional reasoning:
- The total height of 5 boxes is 62.5 cm
- Divide both sides by 5 to find the height of 1 box: 62.5 cm ÷ 5 = 12.5 cm
- Now that we know the height of 1 box is 12.5 cm, we can multiply it by 3 to find the total height of 3 boxes: 12.5 cm × 3 = 37.5 cm
Therefore, the total height of 3 identical boxes is 37.5 cm.
A patch of grass in the garden had a perimeter of 48 m.
The length of the patch of grass was 12 m longer than the breadth.
What is the area of the grass patch?
Let's start by using algebra to represent the problem:
- Let's call the breadth "b" (in meters)
- The problem tells us that the length is "12 m longer than the breadth", so the length is b + 12 (in meters)
Now we can use the perimeter to set up an equation:
- The perimeter is the sum of all sides, which for a rectangle is: P = 2b + 2(b + 12) = 2b + 2b + 24 = 4b + 24
- We know that the perimeter is 48 m, so we can set up an equation: 4b + 24 = 48
Now we can solve for b:
- Subtract 24 from both sides: 4b = 24
- Divide by 4: b = 6
We have found that the breadth of the grass patch is 6 meters. Using the information that the length is 12 meters longer, we can find the length:
- Length = breadth + 12 = 6 + 12 = 18 meters
Finally, we can find the area of the grass patch:
- Area = length × breadth = 18 × 6 = 108 square meters
Therefore, the area of the grass patch is 108 square meters.
Ahmad takes out
5
7
of apples in a basket,
And 56 apples are left in the basket.
How many apples are there at first?
Let's call the total number of apples in the basket "x".
We know that Ahmad takes out 57 apples, so the remaining number of apples will be:
x - 57 = 56
We can simplify this by adding 57 to both sides:
x = 56 + 57
x = 113
Therefore, there were 113 apples in the basket at first.
To find the total height of 3 identical boxes, we can set up a proportion based on the given information.
Let's assume the height of one box is represented by "h".
We are given that the total height of 5 identical boxes is 62.5 cm.
So, the height of 5 boxes can be represented as 5h = 62.5 cm.
To find the height of 1 box, we divide both sides of the equation by 5:
5h/5 = 62.5 cm/5
Simplifying, we have h = 12.5 cm.
Now, we can find the total height of 3 identical boxes.
The total height of 3 boxes is 3h.
Substituting the value of h we found earlier, we get:
Total height of 3 boxes = 3 * 12.5 cm
Total height of 3 boxes = 37.5 cm.
Therefore, the total height of 3 identical boxes is 37.5 cm.
To find the total height of 3 boxes, you need to know the height of one box and then multiply it by the number of boxes. In this case, the total height of 5 boxes is given as 62.5 cm.
To find the height of one box, you need to divide the total height by the number of boxes. So, if the total height of 5 boxes is 62.5 cm, then the height of one box would be 62.5 cm divided by 5, which is 12.5 cm.
Now that you know the height of one box is 12.5 cm, you can find the total height of 3 boxes by multiplying the height of one box by the number of boxes. So, the total height of 3 boxes would be 12.5 cm multiplied by 3, which equals 37.5 cm.
Therefore, the total height of 3 identical boxes is 37.5 cm.