Question

find the value a cubic container of water if an edge measures(4x+2)cm

Answer 1

Answer:

$\textbf{Volume of the cubic container= 64x^3+8+96x^2+48x\: cubic cm.}$

Step-by-step explanation:

Find the volume a cubic container of water if an edge measures(4x+2)cm

Given:

Length of the edge of the cubic container, a= 4x+2 cm

Now,

$\text{Volume of the cubic container \\= a^3 cubic cm.}$

$=(4x+2)^3$

$=(4x)^3+(2)^3+3(4x)^22+3(4x)(2)^2$

$=64x^3+8+6(16x^2)+3(4x)(4)$

$=64x^3+8+96x^2+48x$

$\therefore\boxed{\textbf{Volume of the cubic container= 64x^3+8+96x^2+48x\: cubic cm.}}$