twizzleswizzle twizzleswizzle

22-03-2021
Mathematics

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A rectangular solid has dimensions (a + 2) by (a + 4) by (3a). Find its volume.

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jimrgrant1 jimrgrant1

22-03-2021

Answer:

V = 3a³ + 18a² + 24a

Step-by-step explanation:

The volume (V) is the product of the 3 dimensions, that is

V = 3a(a + 2)(a + 4) ← expand factors using FOIL

= 3a(a² + 6a + 8) ← distribute parenthesis by 3a

= 3a³ + 18a² + 24a

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