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.

Question

asked Feb 22, 2023 166k views

1 Answer

Daniel Barral · Answer 1 · 2023-02-26T21:51:57+0000

1.0cm

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

s is the side of one length of the cube

If the volume of the cube is 32 cubic centimeters

$\begin{gathered} 32=s^3_1 \\ s_1=\sqrt[3]{32} \\ s_(1=)3.18 \end{gathered}$

For the cube with a volume of 11 cubic centimeters

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

Take the difference between the edge of the cubes:

$\begin{gathered} d=s_1-s_2 \\ d=3.18-2.22 \\ d=0.956 \\ d\approx1.0\operatorname{cm} \end{gathered}$

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