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

By definition, the volume of a cube is given by:
 $V = L ^ 3$
 Where,
 L: side of the cube.
 For each cubic block we have:
 $V = (1/6) ^ 3 V = 1/216$
 Since 8 cubic blocks are needed, then the total volume is:
 $Vt = 8 * V Vt = 8 * (1/216) Vt = 1/27 m ^ 3$
 Answer:
 each cube can hold 1/27 m ^ 3 of the liquid

Answer 2

Answer:

answer choice B: 1/27 m3

Step-by-step explanation:

L: side of the cube. For each cubic block we have:

V = (1/6) ^ 3

V = 1/216 Vt = 8

Vt = 8 * (1/216)