Question

What is the volume, in cubic meters, of a rectangular prism with a height of 14 meters, a width of 12 meters, and a length of 2 meters?

Answer 1

Answer:

The volume of a rectangular prism with a height of 14 m, a width of 12 m, and a length of 2 m is equal to 336 m³.

General Formulas and Concepts:
Geometry

Volume Formula [Rectangular Prism]:
$\displaystyle V = lwh$

• l is length
• w is width
• h is height

Step-by-step explanation:

Step 1: Define

Identify given variables.

h = 14 m

w = 12 m

l = 2 m

Step 2: Find Volume

1. [Volume Formula - Rectangular Prism] Substitute in variables:
   $\displaystyle V = (14 \ \text{cm})(12 \ \text{cm})(2 \ \text{cm})$
2. Evaluate:
   $\displaystyle V = \boxed{ 336 \ \text{cm}^3 }$

∴ the volume of the rectangular prism with the given dimensions is equal to 336 cm³.

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Topic: Geometry