What is the volume of a rectangular pyramid with a length of 32 cm and a width of 25cm and an alititude of 41cm
To find the volume of a rectangular pyramid, we use the formula:
Volume = (1/3) * base area * altitude
The base area of a rectangular pyramid is found by multiplying the length and width of the base.
Given:
Length = 32 cm
Width = 25 cm
Altitude/height = 41 cm
Base area = Length * Width = 32 cm * 25 cm = 800 cm^2
Volume = (1/3) * 800 cm^2 * 41 cm
Volume = 32,800 cm^3
Therefore, the volume of the rectangular pyramid is 32,800 cm^3.
To find the volume of a rectangular pyramid, you can use the formula: V = (1/3) * base area * altitude.
Step 1: Calculate the base area. Since the shape is rectangular, the base area is equal to the length multiplied by the width.
Base area = length * width
Base area = 32 cm * 25 cm
Base area = 800 cm²
Step 2: Multiply the base area by one-third and then multiply by the altitude.
V = (1/3) * base area * altitude
V = (1/3) * 800 cm² * 41 cm
V = 27333.33 cm³
Therefore, the volume of the rectangular pyramid is approximately 27333.33 cm³.