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

Question

asked Sep 8, 2023 81.3k views

1 Answer

Andreialecu · Answer 1 · 2023-09-14T04:26:56+0000

SOLUTION

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

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

$113\colon62$