Question

The surface area of a cube is 1734 cm square find its volume is

Answer 1

6a² = 1734
a² = 289
a =√(17)²
a = 17cm
there fore
it's volume is
a³ =(17)³ = 4913 cm³

Answer 2

Answer:

Volume of the cube  =  4913cm³

Step-by-step explanation:

Given,

The surface area of a cube = 1734cm²

To find

The volume of the cube

Solution:

Recall the formulas

The surface area of the cube =6a²

The volume of the cube = a³, where a is the side of the cube

Given, surface area of the cube =  1734

we have 6a² = 1734

a² = $\frac{1734}{6}$ = 289cm²

a = $\sqrt{289}$ = 17cm

Hence, we have

Side of the cube =a =  17cm

Volume of the cube = a³ = (17)³ = 4913cm³

∴Volume of the cube  =  4913cm³

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