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what is the slant height for the given pyramid to the nearest whole unit? Pyramid Base =6cm

height=4cm
Please Help!

make a diagram of the side view. It should be clear that

s^2 = (6/2)^2 + 4^2
s = 5

assuming the base of the pyramid is a square. If it's a triangle, you have a bit more work to do.

Did you know?

Did you know that in geometry, the slant height of a pyramid is the distance from the base to the apex, measured along the lateral faces? To find the slant height of a pyramid, you can use the Pythagorean theorem. In the given scenario, with a pyramid base of 6cm and a height of 4cm, we can calculate the slant height by finding the hypotenuse of a right triangle. Using the Pythagorean theorem (a² + b² = c²), where one leg is the height (4cm) and the other leg is half of the base (6/2 = 3cm), we can solve for the slant height. By substituting the values into the equation, 4² + 3² = c², we get 16 + 9 = c². Simplifying, we have 25 = c². Taking the square root of both sides, we find that the slant height of this pyramid is approximately 5cm to the nearest whole unit.