Question

Mr. Jackson has an empty pyramid and an empty prism. The base of the pyramid is congruent to the base of the prism, and their heights are equal. Determine the number of times Mr. Jackson must fill the pyramid with water and pour it into the prism in order to completely fill the prism with water.

Answer 1

Mr. Jackson only needs to fill the pyramid and pour it into the prism once to completely fill the prism with water.

Step-by-step explanation:

To determine the number of times Mr. Jackson must fill the pyramid with water and pour it into the prism in order to completely fill the prism with water, we need to consider the volume of each shape. Since the bases are congruent and the heights are equal, the volume of the pyramid is equal to the volume of the prism. Therefore, Mr. Jackson needs to fill the pyramid and pour it into the prism once to completely fill the prism with water.

Answer 2

Answer:
Volume of water required to fill the pyramid is rd of the water required to fill the prism completely.
Step-by-step explanation:
Let Mr Jackson has an empty rectangular pyramid and rectangular prism.
Height and base of both are congruent.
So volume of rectangular pyramid

Volume of the rectangular prism = (Area of the base)(height)

[ Since ]


Therefore, amount of water required to fill the pyramid is rd of the water required to fill the prism completely.