Question

volume of a cube is 1000cm cube find its total surface area
and lateral surface area.​

Answer 1

Answer:

TSA: 600sq.cm

LSA: 400sq.cm

Step-by-step explanation:

Volume of the cube: 1000cm^3

Volume of a cube: s^3 unit

Edge of the cube: 3√1000

→3√(10×10×10)

→10cm

Total Surface Area of cube: 6a^2

→6×(10^2)

→6×10×10

→600cm^2

Lateral Surface Area of cube: 4a^2

→4×(10^2)

→4×10×10

→400cm^2

Hence, Total and Lateral Surface Area of the given cube are 600sq.cm and 400sq.cm respectively.

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Answer 2

Given,

$\tt Volume \: of \: cube = 1000$

$\red\rightarrow\tt {a}^{3 } = 1000$

$\red\rightarrow\tt {a}^{3} = {10}^{3}$

$\red\rightarrow\tt a = 10 \: cm$

So length of side of a cube = 10 cm

Now,

$\blue\rightarrow\tt Total \: surface \: area \: of \: cube$

$\blue\rightarrow\tt 6 {a}^{2}$

$\blue\rightarrow\tt 6 \times {10}^{2}$

$\blue\rightarrow\tt 6 \times 100$

$\blue\rightarrow\tt 600 \: {cm}^{2}$

Again,

$\green\rightarrow\tt Lateral \: surface \: area$

$\green\rightarrow\tt 4 {a}^{2}$

$\green\rightarrow\tt 4 \times {10}^{2}$

$\green\rightarrow\tt 4 \times 100$

$\green\rightarrow\tt 400 \: {cm}^{2}$

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