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Zinc has a density of 0.258 lb/in³ (pounds per cubic inch).

Darius is making a pyramid out of solid zinc. The pyramid has a square base 6 inches on each side, and a height of 2.5 inches.

How many pounds of zinc does he need?

Show all your work. Do not round the final answer.

Respuesta :

carlosego

For this case we have that by definition the mass is given by:

[tex]m = D * V[/tex]

Where,

  • D: density
  • V: Volume

The volume of a pyramid is given by:

[tex]V = \frac {1} {3} * A * h[/tex]

Where,

  • A: area of ​​the base
  • h: height

Substituting values ​​we have:

[tex]V = \frac {1} {3} * (36) * (2.5)\\V = 30[/tex]

We now calculate the mass:

[tex]m = (0.258) (30)\\m = 7.74\ lb[/tex]

Answer:

he needs 7.74 pounds of zinc

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