HOW TO DO THIS QUESTION ​

9514 1404 393

  583.4 cm³

Step-by-step explanation:

We have the base dimensions, so enough information to find its area:

  A = s²

  A = (10 cm)² = 100 cm²

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The height of the triangle is found by solving triangle AMV for the distance MV. That is found from the trig relation ...

  Tan = Opposite/Adjacent

  tan(68°) = MV/AM

The length of AM is half the diagonal of the square base, so is (10√2)/2 = 5√2. The length of MV is ...

  MV = AM·tan(68°) = 5√2·tan(68°) ≈ 17.50

So, the volume of the pyramid is ...

  V = (1/3)Bh

  V = (1/3)(100 cm²)(17.50 cm) ≈ 583.4 cm³ . . . . volume of the pyramid

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step-by-step explanation:

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