Question

the surface area of a cube is147/8 find the volume​

Answer 1

The volume of the cube is $\frac{343}{64}$ unit³

Step-by-step explanation:

The surface area of a cube is given by:

A = 6a²

Here, a = side of the cube.

Compute the value of a as follows:

$A=6a^{2}\\\frac{147}{8}=6a^{2}\\a^{2}=\frac{147}{8}\times \frac{1}{6}\\a=\frac{7}{4}$

Compute the volume of a cube as follows:

$Vol.=a^{3}\\=(\frac{7}{4})^{3}\\=\frac{343}{64}$

Thus, the volume of the cube is $\frac{343}{64}$ unit³

Answer 2

Step-by-step explanation:

area of cube =6a2

147/8=6a2

a2=3

a=1.74m

volume of cube = a3=1.74×1.74×1.74=5.26m3