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.
The total height of 5 identical boxes is 62.5 cm.
Find the total height of 3 such boxes.
5 answers
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?
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.
- 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?
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.
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.