What is the slant height for the given pyramid to the nearest whole unit?
Pyramid base = 6 cm Height = 4 cm
A. 7 cm
B. 5 cm
C. 9 cm
D. 8 cm
Using the Pythagorean theorem, we can find the slant height:
s = √(4² + (6/2)²) = √(16 + 9) = √25 = 5
Therefore, the slant height is 5 cm, which is answer choice B to the nearest whole unit.
To find the slant height of the given pyramid, we can use the Pythagorean theorem.
The slant height, denoted as "l", can be found by applying the Pythagorean theorem to the right triangle formed by the height, the slant height, and half of the base.
Using the given measurements:
Height = 4 cm
Base = 6 cm
Half of the base = 6 / 2 = 3 cm
Now, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (slant height) is equal to the sum of the squares of the other two sides (height and half of the base).
So, the formula to find the slant height is:
l^2 = 4^2 + 3^2
l^2 = 16 + 9
l^2 = 25
Taking the square root of both sides, we get:
l = √25
l = 5
Therefore, the slant height of the pyramid is 5 cm.
So, the correct answer is B. 5 cm.