Question

the diagonal of cube is 6 cm .find its volume and surface area

Answer 1

cube all sides are equal so,
a = 6cm

volume = a³
= 216cm³

surface area = 4a²
= 144cm²

Answer 2

$\boxed{\boxed{\large\mathbf{216 \ cm^3 ; 144 \ cm^2 ; 216 \ cm^2}}}$
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$\underline{\underline{\huge\mathfrak{ANSWER}}}$

$\underline\text{We know that,}$

Edge(side) of cube = $\mathbf{6 \ cm}$

$\underline{\large\mathbf{VOLUME}}$



$\mathbf{Volume = (edge)^3}$

$\mathsf{\Longrightarrow (6)^3 = 216}$

Hence, Volume of Cube is $\mathbf{216 \ cm^3}$



$\underline{\large\mathbf{SURFACE \: \: AREA}}$


$\large\mathbb{1) \ LATERAL \ SURFACE \ AREA}$

Lateral surface area = $\mathbf{4a^2}$

$\mathsf{\Longrightarrow 4(6^2)}$

$\mathsf{\Longrightarrow 4(36)}$

$\mathsf{\Longrightarrow 144 cm^2}$

Hence, C.S.A of cube is $\mathbf{144 \ cm^2}$


$\large\mathbb{2) \ TOTAL \ SURFACE \ AREA}$

Total surface area = $\mathbf{6a^2}$

$\mathsf{\Longrightarrow 6(6^2)}$

$\mathsf{\Longrightarrow 6(36)}$

$\mathsf{\Longrightarrow 216 cm^2}$

Hence, T.S.A of Cube is $\mathbf{216 \ cm^2}$

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$\large\boxed{\large\boxed{\large\boxed{\Huge\mathbb{THANKS}}}}$

$\huge\mathbf{\# \: Be \: Brainly}$