Question

Determine the surface area to volume ratio of each objectQuestion 6a

Answer 1

The formula for the surface area(A) of the cuboid is,

`A=2(lw+lh+hw)`

The formula for the volume (V) of a cuboid is,

`V=\text{lwh}`

Where,

`\begin{gathered} l=6.2m \\ w=4m \\ h=2m \end{gathered}`

Therefore, calculating the surface area and the volume of the cuboid.

`\begin{gathered} A=2(6.2*4+6.2*2+2*4)=2(24.8+12.4+8)=2(45.2)=90.4m^2 \\ \therefore A=90.4m^2 \end{gathered}`
`V=6.2*4*2=49.6m^3`

Hence, the surface area to volume ratio of the cuboid is

`(90.4m^2)/(49.6m^3)=(113)/(62)=113\colon62`

Hence, the answer is

`113\colon62`