Question

the volume of a cube is 74088 cu.mm . find the amount of cloth required to cover the cube completely

Answer 1

volume of cube = a^3 = 74088
a = 3√(74088)
a = 42mm
the amount of cloth required to cover the cube completely is T.S.A = 6(a)^2
= 6×(42)^2
= 10584mm
= 10.584 m

Answer 2

Answer:

$10584 mm^{2}$

Step-by-step explanation:

Formula of volume of cube = $a^{3}$

where a is the side of cube

⇒$74088 = a^{3}$

$\sqrt[3]{74088} =a$

$42=a$

Thus the side of cube is 42 mm

Now to determine the amount of cloth to cover the cube

We need to find the total surface area of cube

Thus formula of total surface area of cube = $6a^{2}$

⇒$10584$

Thus $10584 mm^{2}$ amount of cloth required to cover the cube completely.