What is the volume of a pyramid with measurements 10 cm length, 18 cm width, and 12 cm height?(1 point) Responses 6,480 cm3 cm cubed 720 cm3 cm cubed 13.33 cm3 cm cubed 2,160 cm3 cm cubed

Answer 1

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

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

First, calculate the base area. Since the base is a rectangle, the area \(A\) is:

\[ A = \text{length} \times \text{width} = 10 , \text{cm} \times 18 , \text{cm} = 180 , \text{cm}^2 \]

Now, using the height of the pyramid (12 cm), we can calculate the volume:

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

Calculating that gives:

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

So, the volume of the pyramid is 720 cm³.