Question

A toy company manufactures sealed cubes that contain a colored liquid that glows in the dark. The liquid completely fills the cubes. If 8 cubic blocks with a side length of 1/6 m are needed to find the volume of each cube, how much of the liquid can each cube hold?

Answer 1

The volume of each cube is 1/27 cubic meters.

Step-by-step explanation:

To find the volume of each cube, we need to first find the volume of a single cubic block with a side length of 1/6 m. The volume of a cube is calculated by multiplying the length of one side by itself twice (L x L x L). In this case, the side length is 1/6 m, so the volume of the cubic block is (1/6) x (1/6) x (1/6) = 1/216 cubic meters.

Since it takes 8 of these cubic blocks to make a complete cube, we need to multiply the volume of a single cubic block by 8. (1/216) x 8 = 8/216 = 1/27 cubic meters. So, each cube can hold 1/27 cubic meters of liquid.