Question

three cubes each of the volume is 216 metre cube are joined end to end then its surface area of resulting cuboid is​

Answer 1

✬ TSA of Cuboid = 504 m² ✬

Step-by-step explanation:

Given:

• Volume of each cube is 216 m³.
• Number of cubes is 3.

To Find:

• What will be the TSA of the resulting Cuboid when 3 cubes are joined end to end?

Formula to be used:

• Volume of cube = (edge)³
• TSA of Cuboid = 2 (lb + bh + hl)

Solution: Measure of each side i.e edge of the cube = ³√216 m

→ ³√216 m

→ ³√6 x 6 x 6 m

→ 6 m

Now,

• Length of resulting cuboid, L = 6 + 6 + 6 = 18 m

• Breadth of resulting cuboid, b = 6 m

• Height of resulting cuboid, h = 6 m

∴ Total Surface area of the resulting cuboid •

$\implies{\rm }$ 2 ( lb + bh + hl )

$\implies{\rm }$ 2 ( 18 x 6 + 6 x 6 + 18 x 6 ) m²

$\implies{\rm }$ 2 ( 108 + 36 + 108 ) m²

$\implies{\rm }$ 2 x 252 m²

$\implies{\rm }$ 504 m²

Hence, The total surface area of resulting cuboid will be 504 m²

Answer 2

Given :

★ Three cubes each of volume 216 m³ are joined end-to-end.

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Find :

★ What is the surface area of the resulting solid?

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Formula :

★ TSA = 2 (Ib + bh + hl).

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Concept :

★ Using this "Total surface area" formula we can easily solve this equation.

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#In the question there following terms are important:

1) Length (L) = 6³ = 18 cm.

2) Breadth (B) = 6 cm.

3) Height (H) = 6 cm.

4) 216³ = 3√216

5) 3√216 = 6 cm

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Calculations :

→ 2 (18 × 6 + 6² + 18 × 6)²

→ 2 (108 + 36 + 108)²

→ 504 cm²

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Therefore, 504 cm² is the total surface area of resulting solid.