What is the volume of a pyramid with measurements 10 cm length, 18 cm width, and 12 cm height ?

1 answer

To find the volume of a pyramid, you can use the formula:

\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]

For a rectangular base, the area of the base can be calculated as:

\[ \text{Base Area} = \text{Length} \times \text{Width} \]

Given the measurements:

  • Length = 10 cm
  • Width = 18 cm
  • Height = 12 cm

First, calculate the base area:

\[ \text{Base Area} = 10 , \text{cm} \times 18 , \text{cm} = 180 , \text{cm}^2 \]

Now, use the base area to calculate the volume of the pyramid:

\[ \text{Volume} = \frac{1}{3} \times 180 , \text{cm}^2 \times 12 , \text{cm} = \frac{1}{3} \times 2160 , \text{cm}^3 = 720 , \text{cm}^3 \]

Thus, the volume of the pyramid is:

\[ \boxed{720 , \text{cm}^3} \]