Question

100 points please help

Answer 1

3 : 1

Explanation:

`\boxed{\begin{minipage}{4 cm}\underline{Surface area of a cube}\\\\$SA=6s^2$\\\\where:\\ \phantom{ww}$\bullet$ $s$ is the side length. \\\end{minipage}}`

`\boxed{\begin{minipage}{4 cm}\underline{Volume of a cube}\\\\$V=s^3$\\\\where:\\ \phantom{ww}$\bullet$ $s$ is the side length. \\\end{minipage}}`

Therefore, the surface area to volume ratio is:

`\implies 6s^2:s^3`

Divide both sides by s²:

`\implies (6s^2)/(s^2):(s^3)/(s^2)`

`\implies 6:s`

If the side length of the cube is 2 cm, then the surface area to volume ratio is:

`\implies 6:2`

`\implies 3:1`

Answer 2

• C) 3 : 1

-----------------------------

Given

• Cube of side a = 2 cm

Find the surface area

• S = 6a² = 6×2² = 24

Find the volume

• V = a³ = 2³ = 8

Find the ratio of surface area to volume

• S : V =
• 24 : 8 =
• 3 : 1