A pyramid 8cm high stand on a rectangular base 6cmx4cm. Calculate the volume of the pyramid
Solve
as with all pointy things,
v = 1/3 Bh = 1/3 * 6*4 * 8 = 64 cm^3
To calculate the volume of a pyramid, you need to know its height and the area of its base. In this case, the height of the pyramid is given as 8 cm, and the dimensions of the rectangular base are 6 cm by 4 cm.
To find the area of the base, you can multiply the length and width of the rectangle:
Area of base = length × width
= 6 cm × 4 cm
= 24 cm²
Now, you can use the formula for the volume of a pyramid, which is given by:
Volume = (1/3) × base area × height
Plugging in the values you have:
Volume = (1/3) × 24 cm² × 8 cm
= 192 cm³
Therefore, the volume of the pyramid is 192 cm³.