PLS HELP ASAP
What is the volume of a square pyramid with base edges of 18 cm and a slant height of 15 cm?
(1 point)
1,296 cm3
1,620 cm3
1,944 cm3
3,888 cm3
Iani you never came back bro D:
We need the height:
h^2 + 9^2 = 15^2
h^2 = 225-81 = 144
h = √144 = 12
Volume = (1/3)(area of base)(height)
= (1/3)(18^2)(12)
= 1296 cm^3
THANK YOU MATHHELPER UR A LIFE SAVER
when i finish the test ill post the rest
To find the volume of a square pyramid, you can use the formula:
Volume = (1/3) * Base Area * Height
First, we need to find the base area of the square pyramid. Since the base is a square, you can calculate the area by squaring one of the base edges. In this case, the base edges are given as 18 cm, so the base area would be:
Base Area = (18 cm)^2 = 324 cm^2
Next, we need to find the height of the pyramid. The slant height is given as 15 cm, but we need the perpendicular height. To find the perpendicular height, we can use the Pythagorean theorem:
Perpendicular Height = √(Slant Height^2 - Base Edge^2)
In this case:
Perpendicular Height = √(15 cm)^2 - (18 cm/2)^2) = √(225 cm^2 - 81 cm^2) = √144 cm^2 = 12 cm
Now we can substitute the values into the volume formula:
Volume = (1/3) * Base Area * Perpendicular Height
= (1/3) * 324 cm^2 * 12 cm
= 1,296 cm^3
Therefore, the volume of the square pyramid is 1,296 cm^3.