Question

Question #006a3

Answer 1

`~~2744" cubic cm"`

Explanation:

A cube has `color(blue)"6 square faces"`

The area of 1 face = `1175/6~~195.83" square cm"`

The area of a square `=l^2` where `l` is length of side.

`rArrl=sqrt195.83~~14"cm"`

The volume of a cube `=l^3`

`rArr"volume "~~14^3=2744" cubic cm"`

Answer 2

`2740.5cm^3`

Explanation:

Surface area of a cube `6 xx a^2`

Given `6a^2=1175cm^2`

`:.a^2=1175/6`

`:.a^2=195.833333`

`:.a=sqrt195.833333`

`:.a=13.99404635`

volume of a cube`=a*a*a or a^3`

`Volume=13.99404635^3`

`Volume=2740.500744cm^3`

`Volume=2740.5cm^3`