If the VOLUME of a rectangular prism is 945 cm3 , then what is the value of the length X of the base?
To find the length X of the base of the rectangular prism, 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 cm³, we can re-arrange the formula to solve for the length X:
945 = X x width x height
Since we are only looking for the length X, we need to determine the dimensions of the base that will result in a volume of 945 cm³. We can start by listing all the possible combinations of factors of 945:
1 x 1 x 945
1 x 3 x 315
1 x 5 x 189
1 x 7 x 135
1 x 9 x 105
1 x 15 x 63
1 x 21 x 45
From the list above, we can see that the dimensions that satisfy the volume of 945 cm³ are X = 21 cm, width = 45 cm, and height = 5 cm.
Therefore, the value of the length X of the base is 21 cm.