Find the volume and surface area of a rectangular parallelepiped if its measurements are 8 cm, 10 cm, 12 cm
| February 8, 2021 | education
The volume of a rectangular parallelepiped is equal to the product of its three dimensions – height, width and length.
V = a * b * c.
We know the dimensions of the parallelepiped: a = 8 cm; b = 10 cm; c = 12 cm.
Let’s find the volume of the parallelepiped:
V = 8 * 10 * 12 = 960 (cm3.).
Answer: the volume of a rectangular parallelepiped is 960 cm3.
The surface area of a rectangular parallelepiped is equal to twice the sum of the areas of its faces.
S = 2 * (Sa + Sb + Sc) = 2 * (ab + bc + ac).
S = 2 * (8 * 10 + 10 * 12 + 8 * 12) = 2 * (80 + 120 + 96) = 592 (cm2.).
Answer: the area of a rectangular parallelepiped is 592 cm2.
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