Find the sum of the areas of all garney of a rectangular parallelepiped if its volume is 720 cm3
April 25, 2021 | education
| Find the sum of the areas of all garney of a rectangular parallelepiped if its volume is 720 cm3, and two edges are 15 cm and 24 cm.
In order to find the surface area of a rectangular parallelepiped, you need to know all of its sides.
According to the terms of the assignment, we were given a volume of 720 cm³ and the length of the ribs 15 and 24 cm.
V = a * b * c. Substitute the known values into the volume formula and get the equation:
15 * 24 * s = 720.
360s = 720,
s = 720: 360 = 2 cm.
S = 2 (ab + ac + bc) = 2 * (15 * 24 + 15 * 2 + 24 * 2) = 2 * (360 + 30 + 48) = 2 * 438 = 876 cm².
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