Question

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

Answer 1

The volume for a triangular pyramid is given by:

`V=(1)/(3)Bh`

And the Base is given by:

`B=(1)/(2)(5)(8)`

And since h= 1.5 ft we have this:

`V=(1)/(6)(5\cdot8)\cdot1.5ft^3=10ft^3`

And then we can find the total cost like this:

`C=10ft^3\cdot\frac{1.2\text{ dollars}}{1ft^3}=12dollars`

Then the final answer would be 12$