Question

The combined volume of two identical cubes is 250 cubic centimeters. What is the measure of one cubes edge

Answer 1

5 cm

Further explanation

Given:

The combined volume of two identical cubes is 250 cubic centimeters.

Question:

What is the measure of the edge of one cube?

The Process:

Firstly, let's make a diagram that suitable for the information above. Notice that we have two identical cubes. Therefore, we divide the volume of two cubes into two equal parts to prepare the volume of one cube.

$\boxed{125 \ cm^3}\boxed{125 \ cm^3} = 250 \ cm^3 \ or \ \boxed{ \ 250 \ cm^3 \div 2 = 125 \ cm^3 \ }$

Hence, the volume of a cube is 125 cm³.

Secondly, we will find out the measure of the edge of one cube.

In a cube, all the sides are the same.

Recall the volume of a cube is $\boxed{ \ V = s \times s \times s \ or \ V = s^3 \ }$, where s is the length of one side of the cube, or, the measure of one cubes edge.

Let us calculate the side length of each cube.  

$\boxed{ \ s \times s \times s \ = 125 \ }$

$Since \ \boxed{125 \div 5 = 25} \ and \ \boxed{25 \div 5 = 5}, hence \ \boxed{5 \times 5 \times 5 = 125}$

Thus, the measure of one cubes edge is 5 cm.

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Answer 2

Cubic volume V = $a^3$
where a - cubic edge


250 = 2*V
V=125
$a^3=125$
$a=\sqrt[3]{125}=5$

Answer: Cubes edge is 5cm.