Fill up the missing values LENGTH=60cm BREADTH =45cm HEIGHT=? Volume=54 dm³
(60cm)(45cm)(x cm) = (54 dm^3)* (1000cm^3/dm^3)
x = 20cm
Thanks
To find the missing value, we can use the formula for the volume of a rectangular box, which is given by:
Volume = Length * Breadth * Height
Given that the length is 60cm and the breadth is 45cm, and the volume is 54 dm³, let's convert the volume to cm³:
1 dm = 10 cm
Therefore, 54 dm³ = 54 * (10 cm)³ = 54 * 1000 cm³ = 54000 cm³
Now, we can substitute the known values into the formula:
54000 cm³ = 60 cm * 45 cm * Height
Dividing both sides by (60 cm * 45 cm), we get:
Height = 54000 cm³ / (60 cm * 45 cm)
Height = 20 cm
Therefore, the missing value for the height is 20 cm.
To find the missing value for HEIGHT, we need to use the formula for the volume of a rectangular prism, which is:
Volume = Length x Breadth x Height
Since the volume is given as 54 dm³ and the given values for Length and Breadth are 60 cm and 45 cm respectively, we need to convert the units to be in the same system.
To convert cm to dm, we divide by 10 since there are 10 cm in 1 dm.
So, Length (in dm) = 60 cm / 10 = 6 dm
Breadth (in dm) = 45 cm / 10 = 4.5 dm
Now we can substitute these values into the formula:
54 dm³ = 6 dm x 4.5 dm x Height
To solve for Height, divide both sides of the equation by (6 dm x 4.5 dm):
54 dm³ / (6 dm x 4.5 dm) = Height
54 dm³ / 27 dm² = Height
2 dm = Height
Therefore, the missing value for HEIGHT is 2 dm.