A plank of wood 6m long is cut in the ratio 1:5. Find the lenght in centimetres of the longer piece
answer is 500 cms
1 meter = 100 cm
1:5 it means
1x100= 100cm : 5x500= 500cm
100cm:500cm
so the longer piece of wood is 500cms.
To find the length of the longer piece, we need to determine the length ratio between the two pieces first.
The total ratio is given as 1:5, which means that the wood plank is divided into 1 part and 5 parts.
To calculate the length of the longer piece, we divide the total length (6m) into six equal parts (1 part + 5 parts).
The length of each part is calculated by dividing the total length by the number of parts: 6m / 6 = 1m.
Since the longer piece consists of five equal parts of 1m each, its length would be 5m.
To convert the length to centimeters, we multiply by 100: 5m * 100cm/m = 500cm.
Therefore, the length in centimeters of the longer piece of wood is 500cm.
To find the length in centimeters of the longer piece, we first need to determine the lengths of both pieces.
Given that the plank of wood is 6m long and is cut in the ratio 1:5, we can represent this as 1x:5x, where x is the common factor.
The total ratio is 1+5 = 6. Therefore, we can set up an equation:
1x + 5x = 6
Combining like terms, we get:
6x = 6
To solve for x, we divide both sides of the equation by 6:
x = 6/6 = 1
Now that we have the value of x, we can find the lengths of the two pieces:
The length of the shorter piece is 1x = 1(1) = 1 meter.
The length of the longer piece is 5x = 5(1) = 5 meters.
To convert the lengths from meters to centimeters, we multiply by 100, since there are 100 centimeters in 1 meter:
Length of the shorter piece in centimeters = 1 meter * 100 centimeters/meter = 100 centimeters.
Length of the longer piece in centimeters = 5 meters * 100 centimeters/meter = 500 centimeters.
Therefore, the length in centimeters of the longer piece is 500 centimeters.