Question

How tall is a stack of cube shaped blocks whose volumes are 375 cube inches, 648 cube inches, and 1029 cube inches?

A) 10 Cubert(3)
B) 6 Cubert (3)
C) 3 √3
D) 4 √3
E) 9 sqt(3)
F) 18 Cubert (3)

Answer 1

L = 25.959 inches

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)

`a_1=\sqrt[3]{375} \\\\=7.211\ \text{inches}`

`a_2=\sqrt[3]{648 } \\\\=8.653\ \text{inches}`

`a_3=\sqrt[3]{1029} \\\\=10.095\ \text{inches}`

Hence, the total length of the stack is :

L = 7.211 + 8.653 + 10.095

= 25.959 inches

Hence, this is the required solution.