Find the total surface area and volume of a rectangular parallelepiped, the sides of the base
| September 12, 2021 | education
Find the total surface area and volume of a rectangular parallelepiped, the sides of the base are 6 cm 7 cm and the height is 5 cm
A rectangular parallelepiped is a parallelepiped with each face being a rectangle.
According to the terms of the assignment, the measurements of such a figure correspond to 6, 7 and 5 cm.
The total surface area is calculated by the formula:
S = 2 * (ab + bc + ac)
Substitute the known values and write the expression:
S = 2 * (6 * 7 + 7 * 5 + 6 * 5) = 2 * (42 + 35 + 30) = 2 * 107 = 214 cm².
Let’s calculate the volume using the formula:
V = a * b * c = 6 * 7 * 5 = 42 * 5 = 210 cm³.
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