Question

Heya !

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☯️ 50 points ☯️

Three cubes each of sides 5 cm are joined end to end. Find the volume and surface area of the resulting cuboid.

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Thanks ❗

@AarohiG ❤️

Answer 1

Hi there !

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Answer : 375 cm³ and 350 cm²

Solution :

Length of the resulting cuboid = ( 5 + 5 + 5) cm.

⇒ 15 cm.

Breadth and height will be remain same.

Breadth = 5 cm

Height = 5 cm

Now,

Volume of cuboid = ( l × b × h )

⇒ ( 15 × 5 × 5 ) cm³

⇒ ( 75 × 5 ) cm³

⇒ 375 cm³

And,

Total surface area of cuboid = 2(lb + bh + hl)

⇒ 2 ( 15 × 5 + 5 × 5 + 5 × 15 )

⇒ 2 ( 75 + 25 + 75 )

⇒ 2 × 175

⇒ 350 cm²

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Thanks for the question !

Answer 2

Here is your solutions

Given :-

Three cubes each of sides 5 cm.

To find the volume and surface area of the resulting cuboid:-

Total Length of the  cuboid = 5 + 5 + 5 cm.

=>15 cm.

Breadth and height will be  same.

Height = 5 cm

Breadth = 5 cm

We know that

Volume of cuboid = ( l×b×h )

=>( 15 × 5 × 5 ) cm³

=>( 75 × 5 ) cm³

=>375cm³ ✔

Hence,

Volume of cuboid = 375cm³

Total surface area of cuboid = 2(lb + bh + hl)

=>2 ( 15 × 5 + 5 × 5 + 5 × 15 )

=>2 ( 75 + 25 + 75 )

=>2 × 175

=>350 cm²✔

Hence

Total surface area of cuboid =350 cm²

Hope it helps you