Question

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Answer 1

Solution :

• Given :

Side of the cubes = 10 cm

(a) When three cubes are joined end to end, then

Length = 10 + 10 + 10 = 30 cm

Breadth = 10 cm

Height = 10 cm

We know that;

Surface area of cuboid= 2 ( lb + bh + hl )

⇒ 2 ( 30 × 10 + 10 × 10 + 10 × 30 ) cm²

⇒ 2 ( 300 + 100 + 300 ) cm²

⇒ 2 × 700

⇒ 1400 cm²

Hence, the surface area of resulting cuboid is 1400 cm².

( b ) Surface area of one cube = 6 a²

⇒ 6 × 10 × 10

⇒ 600 cm²

Surface area of three cubes = 3 * 600

⇒ 1800 cm²

Ratio of surface area of cuboid to the sum of surface area of three cubes :

$\frac{1400}{1800} \\ \\ \implies \: \frac{7}{9} = 7 : 9$

Hence the ratio is 7 : 9.

Answer 2

Answer:-

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