EXPLANATION
M16. If the volume of a cube is 64 cm³, what is the length of one side?
a) 4 cm
b) 6 cm
c) 8 cm
d) 10 cm
ANSWER: a) 4 cm
EXPLANATION:
To find the length of one side of a cube when the volume is given, we can use the formula for the volume of a cube:
Volume = side³
Given that the volume of the cube is 64 cm³, we can set up the equation as:
64 = side³
To solve for the side length (side), we need to find the cube root of both sides of the equation:
∛64 = ∛(side³)
Taking the cube root of 64, we get:
∛64 = 4
Therefore, the length of one side of the cube is 4 cm.
So, the length of one side of the cube is 4 cm.
