Myialowery20 Myialowery20
  • 20-02-2020
  • Mathematics
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Consider the figure composed of two rectangular prisms. What is the volume of this figure in cubic inches .

Consider the figure composed of two rectangular prisms What is the volume of this figure in cubic inches class=

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sqdancefan
sqdancefan sqdancefan
  • 20-02-2020

Answer:

  256 in³

Step-by-step explanation:

The volume of each prism is the product of length, width, and height.

The top prism has a volume of ...

  v1 = (2 in)(6 in)(8 in)

The bottom prism has a volume of ...

  v2 = (2 in)(10 in)(8 in)

Together, the volume totals ...

  v = v1 +v2 = (2 in)(6 in)(8 in) +(2 in)(10 in)(8 in) = (2 in)(8 in)(6 in + 10 in)

  = (16 in²)(16 in) = 256 in³ . . . total volume

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