In a rectangular parallelepiped, the length is 23 cm, the width is 14 cm, and the height is 11 cm.

In a rectangular parallelepiped, the length is 23 cm, the width is 14 cm, and the height is 11 cm. Find the surface area and volume of the parallelepiped.

Since the parallelepiped is rectangular, all of its faces will be rectangles. Therefore, the area can be found by adding the areas of all faces, and the volume by multiplying the values of three dimensions. Let the top and bottom faces be A, the side faces B, and the ends C.

1) Find the areas of all faces:

A = 23 * 14 = 322 sq. cm;

B = 23 * 11 = 253 sq. cm;

C = 11 * 14 = 154 sq. cm.

2) We calculate the entire area:

322 * 2 + 253 * 2 + 154 * 2 = 1458 sq. cm.

3) Find the volume of the parallelepiped:

23 * 14 * 11 = 3542 cubic meters. cm.

Answer: the area is 1458 sq. cm, volume – 3542 cubic meters. cm.