Answer:
243
Step-by-step explanation:
The volume of the rectangular prism will always be 9 times the volume of 1 cube, no matter how the cubes are arranged. The reason for this is that, since the cubes dont overlap, so volume of each individual cube is add when they are arranged to form the rectangular prism.
We calculate the volume of 1 cube using the information about its top face's area. The top face will be a square, and since the area of a square is found by squaring the length of one of its sides, we can find the length of the side of the square, and therefore the cube, by finding the square root of the area:
l = [tex]\sqrt{9} = 3[/tex]
The volume of the cube would be the value found raised to the third power:
Vcube = 3³ = 27
Vprism = 9 * Vcube = 9 * 27 = 243
