Calculate the area of all faces and the volume of a rectangular parallelepiped whose edges are equal …

A parallelepiped is a figure with a rectangle at its base and opposite faces are equal. If the opposite faces are equal, then their area is also equal. To find the area of ​​a rectangle, you need to multiply the length by the width. Then, the area of ​​a rectangular parallelepiped can be found by the formula:
S = 2 * (a * b + b * c + a * c) = 2 * (1 1/3 * 1/4 + 1/4 * 1/2 + 1 1/3 * 1/2) = 2 * (4/3 * 1/4 + 1/8 + 4/3 * 1/2) = 2 * (1/3 + 1/8 + 2/3) = 2 * (8/24 + 3/24 + 16 / 24) = 2 * 27/24 = 2/1 * 27/24 = 1/1 * 27/12 = 27/12 = 2 3/12 = 2 1/4 dm ^ 2;
To find the volume of a rectangular parallelepiped, you need to multiply the length by the width and by the height:
V = a * b * c = 1 1/3 * 1/4 * 1/2 = 4/3 * 1/4 * 1/2 = 1/3 * 1/1 * 1/2 = 1/6 dm ^ 3.
Answer: S = 2 1/4 dm ^ 2, V = 1/6 dm ^ 3.