A right pyramid on a base of 4cm square has a slight edge of 6cm. Calculate the volume of pyramid
We can use the formula for the volume of a pyramid, which is:
V = (1/3) * base area * height
First, we need to find the height of the pyramid. We can use the Pythagorean theorem to do this. If we draw a diagonal from one corner of the base to the opposite corner, we get a right triangle with legs of 2cm and 2cm (since the base is 4cm square) and a hypotenuse of 6cm (since the pyramid has a slant edge of 6cm). We can solve for the height (h) of the pyramid using the Pythagorean theorem:
2^2 + 2^2 = h^2
4 + 4 = h^2
8 = h^2
h = √8 ≈ 2.83cm
Now we can plug in the values we have into the formula for volume:
V = (1/3) * 4cm^2 * 2.83cm
V = 3.77cm^3
Therefore, the volume of the pyramid is approximately 3.77 cubic centimeters.