Question

Three cube-shaped boxes are stacked one above the other

Answer 1

The height of the three cube - shaped boxes may be determined by getting the cube roots of their volumes. For the first two boxes with volumes of 1,331 m³ each, their heights are 11 m each. For the third box, the height is the cube root of 729 m³ and that is 9 m. The total height of the boxes is 31 meters.

Answer 2

Answer: The height of the stacked boxes is 31 meters.

Step-by-step explanation:

Since, the Volume of a cube = (side)³

The volume of first box = 1331 cubic meters,

⇒ (side)³ = 1331

⇒ $\text{ side}=1331^{\frac{1}{3}}=11\text{ meters}$

Similarly, the side of second box = 11 meters ( Because, both boxes have the same volume )

Now, the volume of third box = 729 cubic meters

⇒ ⇒ (side)³ = 729

⇒ $\text{ side}=729^{\frac{1}{3}}=9\text{ meters}$

Thus, the height of the stacked boxes = Side of first box + side of second box + side of third box

= 11 + 11 + 9

= 31 meters.