How to solve this problem? (the answer is approximately 1.0 cm). i want to know the step by step on how to solve the equation given. if it helps, i am a grade 10 student.

How to solve this problem the answer is approximately 10 cm i want to know the step by step on how to solve the equation given if it helps i am a grade 10 stude class=

Respuesta :

Answer:

1.0cm

Explanation:

The formula for calculating the volume of a cube is expressed as:

[tex]V=s^3[/tex]

s is the side of one length of the cube

If the volume of the cube is 32 cubic centimeters

[tex]\begin{gathered} 32=s^3_1 \\ s_1=\sqrt[3]{32} \\ s_{1=}3.18 \end{gathered}[/tex]

For the cube with a volume of 11 cubic centimeters

[tex]\begin{gathered} 11=s^3_2 \\ s_2=\sqrt[3]{11} \\ s_2=2.22 \end{gathered}[/tex]

Take the difference between the edge of the cubes:

[tex]\begin{gathered} d=s_1-s_2 \\ d=3.18-2.22 \\ d=0.956 \\ d\approx1.0\operatorname{cm} \end{gathered}[/tex]

Hence the difference in the edge length of the cubes is approximately 1.0cm