Respuesta :

Answer:

1296 cm³

Step-by-step explanation:

Given

  • Volume of original rectangular, V = 162 cm³
  • V = lwh

Solving

  • Here it is mentioned the height is doubled
  • Therefore, h is now 2h
  • Substitute in the volume formula
  • V = lw(2h)³
  • V = 8 x lwh
  • V = 8 x 162
  • V = 1296 cm³

fieryanswererft

Answer:

1296 cm³

Original Rectangle:

height : H

volume : 162 cm³

New Rectangle:

height : 2H

volume : x   (let it be x)

Solve:

[tex]\rightarrow \sf (\dfrac{H}{2H})^3 = \dfrac{162}{x}[/tex]

[tex]\rightarrow \sf (\dfrac{1}{2})^3 = \dfrac{162}{x}[/tex]

[tex]\rightarrow \sf x = 1296[/tex]