Question

What is the volume of a rectangular prism with a length of 2x, a width of x−2, and a height of x + 2?

Answer 1

Answer:

• 2x³ - 8x is the volume of a rectangular prism.

Step-by-step explanation:

• Volume: L x B x H
• => (2x) × (x - 2)(x + 2)
• => (2x) × (x² - 4)
• => 2x(x² - 4)
• => 2x³ - 8x units³ [According to DMAS rule]

Conclusion:

Therefore, 2x³ - 8x units³ is the volume of a rectangular prism.

Hoped this helped.

$BrainiacUser1357$

Answer 2

$\text{Volume of rectangular prism} = \text{Length} \times \text{Width} \times \text{Height}\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=2x(x-2)(x+2)\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=2x(x^2 -4)\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=2x^3-8x~~ \text{Units}^3$