Question

Geometry problem help, will reward brainly! both dont have to be solved, but id really appreciate it.

Answer 1

Answer:

• height: 8 m
• slant height: 5 in

Step-by-step explanation:

The parameter of interest can be found by putting the given values into the appropriate volume or area formula for a pyramid, then solving for the unknown. The relevant formulas are ...

  V = 1/3s²h . . . . . s is the base length; h is the height

  A = s(s +2h) . . . . s is the base length; h is the slant height

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height given volume

Using the given values for the volume and the length of the base, the formula becomes ...

  V = 1/3s²h

  96 m³ = 1/3(6 m)²h . . . . . . . . . . use the given values for V, s

  (96 m³)/(12 m²) = 8 m = h . . . . . divide by the coefficient of h

The height of the pyramid is 8 meters.

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slant height given area

Using the given values for area and the length of the base, the formula becomes ...

  A = s(s +2h)

  47.25 in² = (3.5 in)(3.5 in + 2h) . . . . use the given values for A, s

  13.5 in = 3.5 in + 2h . . . . . . . . . . . divide by 3.5 in

  10 in = 2h . . . . . . . . . . . . . . . . . subtract 3.5 in

  5 in = h . . . . . . . . . . . . . . . . divide by 2

The slant height of the pyramid is 5 inches.