Answer:
64 inches : cross-section, cube, 16 inches
26 inches : right rectangular prism, 10x 3 x 14 inches
48 inches : cube with 12-inches edges
34 inches : rectangular prism, 5x12x4 diagonal of 13 inches
Step-by-step explanation:
right rectangular prism, 10x 3 x 14 inches
The cross-section is parallel to the base, so it cuts the height, maintaining the length and width. So, we have:
P = 10 + 3 + 10 + 3 = 26 inches
cube with 12-inches edges
This time, the cross-section is done perpendicular to the base, but in this case it doesn't matter since it's a cube... so it could be done in any direction and it wouldn't change the result.
P = 12 + 12+ 12 + 12 = 48 inches
rectangular prism, 5x12x4 diagonal of 13 inches
The cut is done perpendicular to the base, but along a diagonal of 13 inches, so the height is preserved, and the diagonal length becomes the new side other than height.
P = 13 + 4 + 13 + 4 = 34 inches
cross-section, cube, 16 inches
Again, the cross-section is done parallel to the base, but in this case it doesn't matter since it's a cube... so it could be done in any direction and it wouldn't change the result.
P = 16 + 16 + 16 + 16 = 64 inches.
