Question

Two cubes each of side 6 cm are placed together. Find the surface area of the cuboid thus formed.​

Answer 1

Answer =360

Step-by-step explanation:

l= 6+6=12 , b=6 , h=6 so, surface area of cuboid = 2×(lb+bh+lh)=2×(12×6+6×6+12×6)=360 cm^2

Answer 2

Given:

• Two cubes of side 6 cm are placed together.

To calculate:

• T.S.A or Surface area of the newly formed cuboid.

Calculation:

By joining two cubes of each side of 6 cm end to end, we get a cuboid whose,

Length ⇒ (6 + 6 ) cm ⇒ 12 cm

Breadth ⇒ 6 cm

Height ⇒ 6 cm

Now , as we know that :

★$\underline {\boxed {\sf { {T.S.A}_{(Cuboid)} = 2(lb + lh + bh) }}}$

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Substituting values:

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$\sf {\dashrightarrow {T.S.A}_{(Cuboid)} = 2 (12 \times 6) + ( 12 \times 6) + (6 \times 6) \: {cm}^{2} }$

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$\sf {\dashrightarrow {T.S.A}_{(Cuboid)} = 2(72+ 72 + 36) \: {cm}^{2} }$

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$\sf {\dashrightarrow {T.S.A}_{(Cuboid)} = 2(180) \: {cm}^{2} }$

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$\boxed{ \sf {\dashrightarrow {T.S.A}_{(Cuboid)} =360 \: {cm}^{2} }}$

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Hence, total surface area is $\sf { 360 \: {cm}^{2} }$

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Required Answer :

• Surface area ⇒ 360 sq. cm.

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More formulae :

• L.S.A of cuboid = 2 (l +b)h sq. units

• T.S.A of cuboid = 2(lb + lh + bh) sq. units

• T.S.A of cube = $\sf { 6{s}^{2} }$ sq. units

• L.S.A of cube = $\sf { 4{s}^{2} }$ sq. units