Question

In 1485, Leonardo Da Vinci's sketched a parachute designs in the shape of square based pyramids. For a parachute design, he sketched it with square base having side lengths of 6 feet each and height of 7 feet. (i) How much air would be captured in the pyramid once it is deployed fully? (ii) How much canvas would require to make a parachute?​

Answer 1

i)=84cu.ft

ii)=91.38927727

Explanation:

To find out how much air would be captured in the parachute, we would need to find the volume of the pyramid.

The volume of a square pyramid is 1/3a^2h

where a is the length of a side of the square base, and h is the height of the pyramid.

Since we know the square base has side length 6 and the height of the pyramid is 7, we can plug it in to find the volume = 84 ft^3.

slant height(l)=rootunder h^2+(a/2)^2

=7.615773106ft

Then,

L.S.A=2al

=91.38927727