Calculate the total surface and dioganal of a rectangular parallelepiped if its linear measurements
| August 3, 2021 | education
Calculate the total surface and dioganal of a rectangular parallelepiped if its linear measurements are 1cm, 2cm and 2cm
a = 1 cm.
b = 2 cm.
c = 2 cm.
Sful -?
d -?
The total surface area Sful of a rectangular parallelepiped is determined by the formula: Sful = 2 * (a * b + b * c + a * c).
Sful = 2 * (1 cm * 2 cm + 2 cm * 2 cm + 1 cm * 2 cm) = 16 cm ^ 2.
The diagonal of a rectangular parallelepiped d is determined by the formula: d = √ (a ^ 2 + b ^ 2 + c ^ 2).
d = √ ((1 cm) ^ 2 + (2 cm) ^ 2 + (2 cm) ^ 2) = 3 cm.
Answer: the area of the full surface of the rectangular parallelepiped is S total = 16 cm ^ 2, the diagonal of the rectangular parallelepiped is d = 3 cm.
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