What are the volume and surface area of a rectangular parallelepiped if its length is 5 and 4 cm, width 1 dm8 cm, and height 12 cm?
1) A parallelepiped is a geometric figure, a polyhedron with six faces and each of them is a parallelogram. A rectangular parallelepiped is a parallelepiped with all its faces as rectangles.
2) The volume of a rectangular parallelepiped can be determined by the following formula: V = a * b * c, where a – length, b – width, c – height.
3) By the condition of the problem, a = 5 dm. 4 cm, b = 1 dm. 8 cm., C = 12 cm. Let’s translate everything into centimeters. We get: a = 54 cm, b = 18 cm, c = 12 cm.Thus we get: V = 54 * 18 * 12 = 11664 cm ^ 3.
4) S = 2 (ab + bc + ac) = 2 (54 * 18 + 18 * 12 + 54 * 12) = 2 (972 + 216 + 648) = 3672 cm ^ 2.
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