What is the volume of a square pyramid with the height of 8cm and the base 10cm by 12cm?
Volume of pyramid = (1/3)(base)(height)
= (1/3)(100)(8)
=
W420
To find the volume of a pyramid, you need to multiply the area of the base by the height of the pyramid and divide the result by 3.
First, let's calculate the area of the base of the square pyramid. Since the base is rectangular, we can use the formula for the area of a rectangle, which is length multiplied by width. Given that the length is 10 cm and the width is 12 cm, the area of the base is 10 cm * 12 cm = 120 cm².
Next, we multiply the area of the base by the height and divide by 3 to get the volume of the pyramid. The height is given as 8 cm.
Volume = (120 cm² * 8 cm) / 3
To simplify this calculation, we can divide 120 cm² by 3, which is 40 cm².
Volume = 40 cm² * 8 cm
Multiplying these values together, we get:
Volume = 320 cm³
Therefore, the volume of the square pyramid is 320 cm³.