If the VOLUME of a rectangular prism is 945 cm^3 , then what is the value of the length X of the base?
To find the value of the length X of the base, we need to use the formula for the volume of a rectangular prism:
Volume = length x width x height
Given that the volume is 945 cm^3, we can represent the dimensions of the rectangular prism as follows:
Length = X
Width = Y
Height = Z
So the formula becomes:
945 = X * Y * Z
Since we are looking for the value of the length X, we can express X in terms of Y and Z:
X = 945 / (Y * Z)
We have an infinite number of possible values for X, depending on the values of Y and Z. Without additional information, we cannot determine the specific value of X.
height of 15 cm
width of 7 cm
Given that the height is 15 cm and the width is 7 cm, we can substitute these values into the formula for the volume of a rectangular prism:
Volume = length x width x height
945 = X * 7 * 15
Now, we can solve for X:
945 = 105X
X = 945 / 105
X = 9
Therefore, the value of the length X of the base is 9 cm.