Question

A cube with side of 6cm.
then find
(1) T.S.A
(2) L.S.A
(3) Volume​

Answer 1

Answer:

Step-by-step explanation:

1) TSA= 6a^2

= 6(36)= 216 cm^2

2) LSA = 4a^2

4(36)= 144 cm^2

3) vol= a^3

= 6^3= 216cm^2

Answer 2

Given

• Side of the cube = 6cm

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To find

• Total surface area
• Lateral surface area
• Volume

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Solution

• As it is given in the question that side of the cube is 6cm.
• Let the side of the cube be a.

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★ Finding Total surface area

$\: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt{\bigstar{T.S.A_{(Cube)} = 6a^2{\bigstar}}}}$

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$\large{\tt{\longmapsto{T.S.A = 6 \times (6)^2}}}$

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$\large{\tt{\longmapsto{T.S.A = 6 \times 36}}}$

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$\large{\tt{\longmapsto{T.S.A = 216cm^2}}}$

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★ Finding Lateral surface area

$\: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt{\bigstar{L.S.A_{(Cube)} = 4a^2{\bigstar}}}}$

⠀

$\large{\tt{\longmapsto{L.S.A = 4 \times (6)^2 }}}$

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$\large{\tt{\longmapsto{L.S.A = 4 \times 36}}}$

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$\large{\tt{\longmapsto{L.S.A = 144cm^2}}}$

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★ Finding Volume

$\: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt{\bigstar{Volume_{(Cube)} = a^3{\bigstar}}}}$

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$\large{\tt{\longmapsto{Volume = (6)^3}}}$

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$\large{\tt{\longmapsto{Volume = 6 \times 6 \times 6}}}$

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$\large{\tt{\longmapsto{Volume = 216cm^3}}}$

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Hence,

• Total surface area = 216 cm²
• Lateral surface area = 144 cm²
• Volume = 216 cm³

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