Question

A square pyramid has a base that is 4 meters by 4 meters, and the pyramid is 3 meters tall. Calculate the volume of the pyramid.

Answer 1

The volume is 16 cubic meters.

Explanation:

To calculate the volume of a square pyramid, we can use the formula:

Volume = (1/3) × base area × height

Given that the base of the pyramid is a square with side length 4 meters and the height is 3 meters, we can substitute these values into the formula:

Volume = (1/3) × (4 meters × 4 meters) × 3 meters

Simplifying further, we find:

Volume = (1/3) × 16 square meters × 3 meters

Volume = (1/3) × 48 cubic meters

Therefore, the volume of the square pyramid is 16 cubic meters.

I hope this helps! Let me know if you have any other questions.

Answer 2

16 cubic meters

Explanation:

Definition:

Square pyramid: A pyramid with a square base.

Volume: The amount of space that a three-dimensional object takes up.

Formula:

The volume of a square pyramid can be calculated using the following formula:

`\sf Volume = (1)/(3)* \textsf{ base area }* height`

Solution:

We know that the base of the pyramid is a square with a side length of 4 meters, and that the height of the pyramid is 3 meters.

We can calculate the base area as follows:

Base area =Base length²= 4 meters × 4 meters = 16 square meters

Now we can substitute the base area and height into the formula to calculate the volume of the pyramid:

`\sf Volume = (1)/(3)* 16 m^2* 3 m`

`\sf Volume = 16 cubic meters`

Therefore, the volume of the pyramid is 16 cubic meters.