For the two designs in question #7, which one holds more volume?(2 points) Responses the cube with a side length from the answer in #7 the cube with a side length from the answer in #7 the rectangular prism with dimensions of 3 in. x 1.5 in. x 4.5 in.

Answer 1

The rectangular prism with dimensions of 3 in. x 1.5 in. x 4.5 in. holds more volume.

To calculate the volume of the rectangular prism, we use the formula V = l x w x h, where l = length, w = width, and h = height.

V = 3 in. x 1.5 in. x 4.5 in.
V = 20.25 in^3

Since the side length of the cube in #7 is 2.5 in., the volume of the cube would be:
V = (2.5 in)^3 = 15.625 in^3

Therefore, the rectangular prism has a greater volume of 20.25 in^3 compared to the cube with a volume of 15.625 in^3.