the areas of the rectangular faces are: 90, 54, and 60. What is the volume of the box?

V = sqrt(90*54*60) = 540 Cubic units.

To find the volume of the box, we first need to determine the dimensions of the box. Since the box has rectangular faces, we can assume that its length, width, and height are represented by three different numbers.

Given the areas of the rectangular faces as 90, 54, and 60, we can find the dimensions by finding the square root of each area.

Let's calculate the dimensions:

Length = sqrt(90) = 9.49 (rounded to two decimal places)
Width = sqrt(54) = 7.35 (rounded to two decimal places)
Height = sqrt(60) = 7.75 (rounded to two decimal places)

Now that we know the dimensions, we can calculate the volume of the box by multiplying the length, width, and height:

Volume = Length × Width × Height
= 9.49 × 7.35 × 7.75
= 526.11 cubic units (rounded to two decimal places)

Therefore, the volume of the box is approximately 526.11 cubic units.