What is the volume of a rectangular pyramid with a length of 32 cm, a width of 25 cm, and an altitude of 41 cm?(1 point) Responses 32.67 cm3 32.67 cm cubed 10,933.33 cm3 10,933.33 cm cubed 32,800 cm3 32,800 cm cubed 98,400 cm3 98,400 cm cubed

Answer 1

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

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

The base area of the rectangular pyramid can be calculated as:

\[ \text{Base Area} = \text{Length} \times \text{Width} = 32 , \text{cm} \times 25 , \text{cm} = 800 , \text{cm}^2 \]

Now, substitute the base area and the height (altitude) into the volume formula:

\[ V = \frac{1}{3} \times 800 , \text{cm}^2 \times 41 , \text{cm} \]

Calculating this gives:

\[ V = \frac{1}{3} \times 800 \times 41 \] \[ V = \frac{1}{3} \times 32800 \] \[ V = 10933.33 , \text{cm}^3 \]

So, the volume of the rectangular pyramid is \( 10,933.33 , \text{cm}^3 \).

Therefore, the correct answer is \( 10,933.33 , \text{cm}^3 \) or \( 10,933.33 , \text{cm cubed} \).