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36 votes
36 votes
Find the volume.
V=1/3h(a^2+ab+b^2)

Find the volume. V=1/3h(a^2+ab+b^2)-example-1
User Abdool
by
3.2k points

1 Answer

18 votes
18 votes

Answer:

  • 1092 in³

Explanation:

We have formula and values given:

  • V = 1/3h(a² + ab + b²)
  • h = 12 in
  • a = 5√7 in
  • a = 2√7 in

Substitute the values and calculate:

V = 1/3*12*[(5√7)² + (5√7)(2√7) + (2√7)²] =

= 4*(25*7 + 10*7 + 4*7) =

= 4* 273 =

= 1092 in³

User Kevin Regenrek
by
3.4k points