Calculate the area of all faces of a cube whose edge is 1.4 cm. Calculate the area of all faces of a cuboid

| February 19, 2021 | education

Calculate the area of all faces of a cube whose edge is 1.4 cm. Calculate the area of all faces of a cuboid whose dimensions are: a) 4 cm, 6.5 cm, 8 cm. B) 5 cm, 7.2 cm, 10 cm.

Since all edges of a cube are equal, the areas of all six faces are also equal, then the surface area of the cube is:

Scuba = 6 * a ^ 2, where is the length of the edge.

Scuba = 6 * 1.4 ^ 2 = 11.76 cm2.

Since the areas of the opposite faces of a cuboid are equal, the area of the cuboid is equal to twice the sum of the areas of the three faces.

Spov = 2 * (a * b + b * c + a * c), where a, b, c are the lengths of the edges of the cuboid.

S = 2 * (4 * 6.5 + 6.5 * 8 + 4 * 8) = 2 * (26 + 52 + 32) = 220 cm2.

S = 2 * (5 * 7.2 + 7.2 * 10 + 5 * 10) = 2 * (36 + 72 + 50) = 316 cm2.

Answer: The area of the cube is 11.76 cm2, the areas of the cuboids are 220 cm2 and 316 cm2.



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