What is the slant height for the given pyramid to the nearest whole unit?

Pyramid base = 6cm
Height = 4cm
A.) 7cm*
B.) 5cm
C.) 9cm
D.) 8cm

Ca n someone please check this?

The slant height is 5!!

Don't you know a 3-4-5 right triangle?

Yall confusing

drop an altitude to the center of the base. Then, looking from the side, you will see that

3^2 + 4^2 = s^2

So 3^2 +4 ^2 = 25^2 so the slant height is 625 (25^2)?

Huh? 3^2+4^2 = 9+16 = 25 = 5^2

get a grip, guy!

I don't follow... The slant height is 25?.... I know how you're getting the exponents, but how would you get one of the answers above?

Obviously not.

To find the slant height of a pyramid, we need to use the Pythagorean theorem. The slant height is the hypotenuse of a right triangle formed by the height of the pyramid, the slant height, and half of the base.

In this case, the height of the pyramid is given as 4cm and the base is given as 6cm.

We can divide the base in half to get 6/2 = 3cm.

Using the Pythagorean theorem, we can write the equation as follows:

Slant height^2 = height^2 + (1/2 * base)^2

Substituting the given values into the equation, we have:

Slant height^2 = 4^2 + 3^2
Slant height^2 = 16 + 9
Slant height^2 = 25

Taking the square root of both sides, we get:

Slant height = √25
Slant height = 5

Therefore, the slant height of the pyramid is 5 cm.

The closest option to the calculated value is B.) 5cm. So, it seems that the answer is correct.

guys ya'll didn't even get the answer right. I took it and the answer is 13 cm but i need to explain it.

Nevermind, I'm pretty sure it's 7.

36 + 16 = 52
Square root of 52 is 7.