A right rectangular pyramid has an altitude of 35 m, a length of 26 m, and a width of 31 m. What is the volume of the pyramid in m3 ?(1 point) Responses 84,630 m3 84,630 m cubed 28,210 m3 28,210 m cubed 30.67 m3 30.67 m cubed 9,403.33 m3

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

To find the volume of a right rectangular pyramid, you can use the formula: \(V = \frac{1}{3} \times \text{base area} \times \text{height}\)

Since the base of the pyramid is a rectangle, the base area is length x width.

Given:
Height (altitude) = 35 m
Length = 26 m
Width = 31 m

Base area = 26 m x 31 m = 806 m²

Now plug in the values into the formula:
\(V = \frac{1}{3} \times 806 \text{m²} \times 35 \text{m}\)

\(V = \frac{1}{3} \times 806 \times 35\)

\(V = \frac{1}{3} \times 28110\)

\(V = 9370 \text{m³}\)

Therefore the volume of the pyramid is 9,370 m³.