contestada

if an above ground graden is the shape of triangular pyramid measuring.the base is a right triangle with adjacent lengths measuring 5feet and 8feet. the height of the pyramid is 1.5feet. the organic soil cost $1.20 per cubic foot. how much will it cost to fill the graden fully

Respuesta :

Solution

The volume for a triangular pyramid is given by:

[tex]V=\frac{1}{3}Bh[/tex]

And the Base is given by:

[tex]B=\frac{1}{2}(5)(8)[/tex]

And since h= 1.5 ft we have this:

[tex]V=\frac{1}{6}(5\cdot8)\cdot1.5ft^3=10ft^3[/tex]

And then we can find the total cost like this:

[tex]C=10ft^3\cdot\frac{1.2\text{ dollars}}{1ft^3}=12dollars[/tex]

Then the final answer would be 12$

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