Answer:
Yes, it will fit.
Explanation:
To determine whether 375 cubic inches of sand will fit into the given rectangular prism, we need to calculate the volume of the prism and compare it to the amount of sand.
The formula for the volume of a rectangular prism is:
Volume = Base x Height x Width
In this case, the base of the prism is 5 by 7 inches, so the area of the base is:
Area of Base = 5 inches x 7 inches = 35 square inches
The height of the prism is 9 inches. Therefore, the volume of the prism is:
Volume = Base x Height = 35 square inches x 9 inches = 315 cubic inches
So, the volume of the prism is 315 cubic inches, which is less than the amount of sand Jack has (375 cubic inches). Therefore, all of the sand will fit inside the rectangular prism with room to spare.
In summary, the sand will fit inside the rectangular prism because the volume of the prism is greater than the amount of sand Jack has.