Question

The volume of the cube is 27 cubic meter find its total surface area and the lateral surface area

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Total surface area of cube is 54 square meter and lateral surface area of cube is 36 square meter

Solution:

Given that,

The volume of the cube is 27 cubic meter

The volume of cube is given as:

$Volume = a^3$

Where, "a" is the length of side of cube

Therefore,

$27 = a^3\\\\3^3 = a^3\\\\a = 3$

Find the total surface area of cube

$T.S.A = 6a^2\\\\T.S.A = 6 \times 3^2\\\\T.S.A = 6 \times 9\\\\T.S.A = 54$

Find the lateral surface area of cube

$L.S.A = 4a^2\\\\L.S.A = 4 \times 3^2\\\\L.S.A = 4 \times 9\\\\L.S.A = 36$

Thus total surface area of cube is 54 square meter and lateral surface area of cube is 36 square meter

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