Three cube-shaped boxes are stacked one above the other. The volumes of two of the boxes are 1,331 cubic meters each, and the volume of the third box is 729 cubic meters. What is the height of the stacked boxes in meters?

A. 19

B. 29

C. 30

D. 31


Respuesta :

B.29. that's the answer

By finding the side length of the boxes, we will see that the height of the tower is 31m.

What is the height of the stacked boxes in meters?

First, we have two boxes with a volume of 1,331 m^3, then the side length of these two boxes is:

[tex]S = \sqrt[3]{(1,331 m^3)} = 11m[/tex]

For the third box with volume of 729 m³, the side length is:

[tex]s = \sqrt[3]{(729 m^3)} = 9m[/tex]

When we stack the 3 boxes, the height of the tower will be:

H = 11m + 11m + 9m = 31m

If you want to learn more about cubes:

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