# 4 cubes are arranged in a row adjacent to each other. Find the ratio o

| 4 cubes are arranged in a row adjacent to each other. Find the ratio of the total surface area of the cuboid obtained to the sum of the total surface area of each cube.

A. 1 : 2

B. 2 : 3

C. 3 : 4

D. 4 : 5

### Right Answer is: C

#### SOLUTION

Given, 4 cubes are arranged adjacently to each other.

Let the side of the cube be ‘a’.

Length of the cuboid obtained = 4a

Breadth of cuboid = a

Height of cuboid = a

Total surface area of cuboid = 2(l × b + b × h + l × h)

⇒Total surface area of cuboid = 2(4a^{2} + a^{2} + 4a^{2}) = 18a^{2}

Total surface area of the four cubes = 4 × (6a^{2}) = 24a^{2}

Ratio of the total surface area of the cuboid obtained to the sum of total surface area of each cube

= 18a^{2} : 24a^{2}

= 3 : 4

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4 cubes are arranged in a row adjacent to each other. Find the ratio o