Question

Find the volume L.S.A,T.S.A of a cube of side 1.6m​

Answer 1

Given :

• Cube of side 1.6 m

To Find :

• Lateral Surface Area (LSA)

• Total Surface Area (TSA)

• Volume

Solution :

◆ Let's find out LSA First

$\bigstar \: \boxed{ \sf \: Lateral \: Surface \: Area_{cube} = 4(side)^{2}}$

$\longrightarrow\sf \:L.S.A. \: = 4(1.6)^{2}$

$\longrightarrow \sf \:L.S.A. \: = 4(1.6 \times 1.6)$

$\longrightarrow \sf \:L.S.A. \: = 4(2.56)$

$\longrightarrow \sf \red{\:L.S.A. \: =10.24 {m}^{2} }$

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◆ Let's Find Total Surface Area next :

$\bigstar \: \boxed{ \sf \: Total \: Surface \: Area_{cube} = 6(side)^{2}}$

$\longrightarrow \sf \:T. S.A. \: = 6(1.6)^{2}$

$\longrightarrow \sf \:T. S.A. \: = 6(1.6 \times 1.6)$

$\longrightarrow\sf \:T. S.A. \: = 6(2.56)$

$\longrightarrow \red{ \sf \:T. S.A. \: = 15.36 {m}^{2} }$

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◆ Let's Find Volume now :

$\bigstar \: \boxed{ \sf \:Volume _{cube} = {side}^{3} }$

$\longrightarrow \sf \:Volume \: = (1.6)^{3}$

$\longrightarrow \sf \:Volume \: = 1.6 \times 1.6 \times 1.6$

$\longrightarrow \red{ \sf \:Volume\: = 4.096 {m}^{3} }$

Hence,

• Lateral Surface Area = 10.24m²

• Total Surface Area = 15.36m²

• Volume = 4.096m³

Answer 2

$\huge\underline\textsf{Answer\::}$

☯ $\boxed{\sf Lateral\:surface\:area = 10.24 m^2}$

☯ $\boxed{\sf Total\:surface\:area = 15.36 m^2}$

☯ $\boxed{\sf Volume = 4.096 m^3}$

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Given,

• Side of a cube = 1.6 m

To Find,

• Lateral surface area of cube(L.S.A) = ?
• Total surface area of cube(T.S.A) = ?
• Volume of cube = ?

Solution,

★ $\boxed{\sf Lateral\:surface\:area\:of\:cube = 4l^2}$

$\mapsto$4 × (1.6)²

$\bold\mapsto$10.24 m²

★ $\boxed{\sf Total\:surface\:area\:of\:cube = 6l^2}$

$\mapsto$6 × (1.6)²

$\bold\mapsto$15.36 m²

★ $\boxed{\sf Volume\:of\:cube = l^3}$

$\mapsto$(1.6)³

$\bold\mapsto$4.096 m³

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