Answer:
L = 25.959 inches
Step-by-step explanation:
Volume of first cube = 375 inch³
Volume of second cube = 648 inch³
Volume of third cube = 1029 inch³
We need to find the length of the stack of the cube shaped block.
We know that,
The volume of a cube = a³ (a is side of a cube)
[tex]a_1=\sqrt[3]{375} \\\\=7.211\ \text{inches}[/tex]
[tex]a_2=\sqrt[3]{648 } \\\\=8.653\ \text{inches}[/tex]
[tex]a_3=\sqrt[3]{1029} \\\\=10.095\ \text{inches}[/tex]
Hence, the total length of the stack is :
L = 7.211 + 8.653 + 10.095
= 25.959 inches
Hence, this is the required solution.
