Four identical cubes are joined end to end to form a cuboid. If the total surface area of the resulting cuboid is 648 cm2; find the length of edge of each cube. Also, find the ratio between the surface area of the resulting cuboid and the surface area of a cube.

Given: Total surface area of the cuboid = 648 cm2 Let `a` be the side of each cube. When four identical cubes are placed adjacently, the cuboid's dimensions are: Length = a \+ a \+ a \+ a = 4a Breadth = a Height = a Total surface area of the cuboid = 2(lb \+ bh \+ hl) ⇒ 2(4a x a \+ a x a \+ a x 4a) = 648 ⇒ 2(4a2 \+ a2 \+ 4a2) = 648 ⇒ 2 x 9a2 = 648 ⇒ 18a2 = 648 ⇒ a2 = ⇒ a2 = 36 ⇒ a = ⇒ a = 6 Thus, the length of the edge of each cube is 6 cm. Hence, the edge of each cube is 6 cm, and the ratio of the surface area of the resulting cuboid to that of one cube is 3:1.

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Mathematics

Four identical cubes are joined end to end to form a cuboid. If the total surface area of the resulting cuboid is 648 cm²; find the length of edge of each cube.
Also, find the ratio between the surface area of the resulting cuboid and the surface area of a cube.

Mensuration

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Mathematics

Four identical cubes are joined end to end to form a cuboid. If the total surface area of the resulting cuboid is 648 cm²; find the length of edge of each cube.
Also, find the ratio between the surface area of the resulting cuboid and the surface area of a cube.

Mensuration

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Mathematics

Four identical cubes are joined end to end to form a cuboid. If the total surface area of the resulting cuboid is 648 cm2; find the length of edge of each cube.Also, find the ratio between the surface area of the resulting cuboid and the surface area of a cube.

Mensuration

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Four identical cubes are joined end to end to form a cuboid. If the total surface area of the resulting cuboid is 648 cm²; find the length of edge of each cube.
Also, find the ratio between the surface area of the resulting cuboid and the surface area of a cube.

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