the volume of a rectangular prism is 12 cubic centimeters. one face of the prism is a 2-cm square. what could be one of the other faces on the prism
btw its 3d
assuming integer sides, the factors of 12 are 2,2,3
Since one face is 2cm^2, I suspect it is 1x2
That means the height is 6.
So now you know the dimensions are 1x2x6
now finish it off
׳-64
To determine one of the other faces of the rectangular prism, we can use the formula for the volume of a rectangular prism: Volume = Length × Width × Height.
Given that the volume is 12 cubic centimeters, let's assume that the length of the rectangular prism is 2 cm, which is the same as the length of one face of the prism.
Substituting the values into the volume formula, we have:
12 = 2 × Width × Height
To find one face that could be the other face of the prism, we need to determine the possible combinations of width (W) and height (H) that satisfy the equation.
Let's try some possibilities:
1. W = 1 cm, H = 12 cm:
12 = 2 × 1 cm × 12 cm
12 = 2 cm² × 12 cm
12 = 24 cm² (not valid)
2. W = 2 cm, H = 6 cm:
12 = 2 × 2 cm × 6 cm
12 = 4 cm² × 6 cm
12 = 24 cm² (valid)
3. W = 3 cm, H = 4 cm:
12 = 2 × 3 cm × 4 cm
12 = 6 cm² × 4 cm
12 = 24 cm² (valid)
Therefore, one possible other face of the rectangular prism could be a rectangle with dimensions 2 cm by 6 cm or 3 cm by 4 cm.