Question

If the volume of a cube is 512 cm3 . Find the total surface area of the cube .

Answer 1

Answer:

A≈384cm²

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Answer 2

Given :-

→ Volume of a cube = 512 cm³

To Find :-

→ Total Surface Area of that Cube

Solution :-

→ As we know that ,

$\underline{\bf{\dag} \:\mathfrak{Volume\;of\;cube=Side^{3}}}$

→ Let's put the values in the formula in order to find the side first .

${\bf{\mathfrak \implies 512 = Side^{3}$

$\sf \implies \sqrt[3]{512} = Side$

$\sf \implies Side = 8 \; cm$

→ Now , Formula of Total Surface Area

$\underline{\bf{\dag} \:\mathfrak{T.S.A=6Side^{2} }}$

→ Let's solve by substituting the values !

$\sf \implies 6 \times (8^{2})$

$\sf \implies 6 \times 64$

$\sf \implies 384 \; cm^{2}$

∴ Total surface area is 384 cm²