Respuesta :
Answer:6w^3
Step-by-step explanation: The volume of a right rectangular prism is the product of its dimensions:
V = LWH
= (2w)(w)(3w) = 6w³ . . . . cubic units
The expression that represents the volume of the rectangular prism in terms of w, the width of the base is 6w³ cubic units
Volume of a rectangular prism
The volume of a rectangular prism can be represented as follows:
volume = lwh
where
- l = length
- w = width
- h = height
Therefore,
width = w
height = 3w
length = 2w
Therefore, the volume can be represented as follows:
volume = w × 3w × 2w
volume = w × 6w²
volume = 6w³ cubic units
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