Answer:
Three times
Step-by-step explanation:
Given
Figures: Rectangular Prism and Rectangular Pyramid
Let the dimension of the prism be:
Amount of sand used is the volume (V1) and it is calculated using;
Since the pyramid has the same base area and height as the prism, the its dimension would be:
Amount of sand used is the volume (V2) and it is calculated using;
So, we have:
Substitute lwh for V1 in the second equation
Multiply both sides by 3
Reorder
<em>Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid</em>