Question

find the volume of a cube , the area of one of whose faces is 49 cm²​

Answer 1

Step-by-step explanation:

The area of the face of the cube is 49.

So the side measures are 7.

The volume is 7*7*7 = 49*7 = (50-1)*7 = 350 - 7 = 343

Per the formula V = 49^(3/2) = sqrt(49)^3= 7^3 =343

Answer 2

Given :

Area of one side of cube is 49 cm

Find :

volume of cube

Formula's applied:

Volume of cube = L³

Area of square = side²

area of one side of its face is 49

let this face be square and This square is part of cube .

area square = side²

49 = side²

side ² = 49

side = √49

side = 7

side of square (L)= 7 cm

that means cube's all side (L) is also = 7 cm

reason : (because all side of cube are equal)

Now applying volume of cube formula

volume of cube = L³

volume of cube = (7)³

volume of cube = 343 cm³