A Rectangular Pyramid Has A Height 10 Cm Base Length Of 6 Cm And Base With Of 8 Cm

less than a minute read Aug 30, 2024
A Rectangular Pyramid Has A Height 10 Cm Base Length Of 6 Cm And Base With Of 8 Cm

Calculating the Volume of a Rectangular Pyramid

A rectangular pyramid is a three-dimensional shape with a rectangular base and four triangular faces that meet at a point called the apex. We are given the following information:

  • Height (h): 10 cm
  • Base Length (l): 6 cm
  • Base Width (w): 8 cm

To find the volume of a rectangular pyramid, we use the following formula:

Volume (V) = (1/3) * Base Area * Height

  1. Calculate the Base Area:

    • Base Area = Length * Width
    • Base Area = 6 cm * 8 cm
    • Base Area = 48 cm²
  2. Calculate the Volume:

    • Volume = (1/3) * 48 cm² * 10 cm
    • Volume = 160 cm³

Therefore, the volume of the rectangular pyramid is 160 cubic centimeters.