Two cube-shaped boxes are stacked one above the other. The volume of one box is 512 cubic meters, and the volume of the other box is 216 cubic meters.
The total height of the stacked boxes is BLANK meters.
PLS FILL IN THE BLANK
To find the total height of the stacked boxes, we can start by determining the height of each individual box.
Let's assume the height of one cube-shaped box is "h" meters.
The volume of a cube is given by the formula V = s^3, where "V" is the volume and "s" is the length of each side. Since the volume of one box is given as 512 cubic meters, we can set up the equation as:
512 = s^3
To solve for the side length "s," we can take the cube root of both sides:
s = ∛512
Performing the calculation gives s = 8. Therefore, each box has a height of 8 meters.
Now, we can find the total height by adding the heights of the two boxes:
Total height = h + h = 8 + 8 = 16 meters.
Therefore, the total height of the stacked boxes is 16 meters.
What sopposed to be in the box
cube-shaped implies all sides of the cube are equal
so the sides for the two cubes are (512)^(1/3) and (216)^(1/3)
or 8 and ?? metres
so the stack is ??? m high