A square-based pyramid has a height of 3 inches and a base area of 9 square inches. Can you find the volume of a cube with the same dimensions as the pyramid? Enter 1 for yes or 2 for no.(1 point)

1 answer

To find the volume of a cube with the same dimensions as the pyramid, we first need to determine the side length of the cube. Given that the base area of the pyramid is 9 square inches, we can infer that the side length of the cube is also 3 inches (since \( \text{base area} = \text{side length}^2 \) implies \( \text{side length} = \sqrt{9} = 3 \)).

The volume \( V \) of a cube is given by the formula: \[ V = \text{side length}^3 \]

So, substituting the side length: \[ V = 3^3 = 27 \text{ cubic inches} \]

Thus, it is indeed possible to find the volume of a cube with the same dimensions as the pyramid.

The answer is 1 (yes).