esperanzasilva4
esperanzasilva4 esperanzasilva4
  • 09-07-2021
  • Mathematics
contestada

Find the volume of the cement block in the figure shown.


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Find the volume of the cement block in the figure shown Please help class=

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sqdancefan
sqdancefan sqdancefan
  • 11-07-2021

9514 1404 393

Answer:

  1240 in³

Step-by-step explanation:

The overall dimensions of the block are ...

  10 in by 11 in by 17 in

The volume of that space is ...

  V = LWH = (10 in)(11 in)(17 in) = 1870 in³

The volume of each of the three identical holes is similarly found:

  V = (10 in)(3 in)(7 in) = 210 in³

Then the volume of the block is the overall volume less the volume of the three holes:

  = 1870 in³ - 3(210 in³) = 1240 in³

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