Question

A Rectangular prisim is completely packed with 200 cubes of edge length 1/5in without any gap or overlap. Which of these best describes the volume of this rectangular prism?

Answer 1

The volume of the rectangular prism completely packed with 200 cubes of edge length 1/5in is approximately 1600 cubic inches.

Step-by-step explanation:

The volume of a rectangular prism can be found by multiplying the length, width, and height of the prism. In this case, the prism is completely packed with cubes of edge length 1/5in. Since there are 200 cubes, the length, width, and height of the prism would be the number of cubes in each respective direction. Therefore, the volume of the rectangular prism is:

(200 cubes in length) x (200 cubes in width) x (200 cubes in height) x (1/5in cube)^3

To simplify the calculation, we can express the volume in terms of the number of cubes:

200 x 200 x 200 x (1/5)^3 in³

Converting the units, we find that the volume of the rectangular prism is approximately 1600 cubic inches.

Answer 2

The answer is D. The volume of the rectangle = 180 x 1/3 x 1/3 x 1/3 = 180/27=6 + 18/27.

Unit cube = 1 x 1 x 1