# Question #efb68

##### 1 Answer
Apr 3, 2017

The amount of water that the tank can hold is $135 , 000 l$.
The total surface area of the tank is $159 {m}^{2}$.

#### Explanation:

To determine how many litres of water the tank can hold, we first calculate the volume according to the standard formula:

$V = l \times w \times d$ where $V =$Volume, $l =$length, $w =$width, and $d =$depth.

$V = 6 \times 5 \times 4.5$

$V = 30 \times 4.5$

$V = 135$

The volume of the tank is $135 {m}^{3}$

Since $1 {m}^{3} = 1000 l$,

$V = 135 \times 1000$

$V = 135 , 000$

The amount of water that the tank can hold is $135 , 000 l$.

The total surface area of a cuboid is calculated as the sum of the areas of the six faces (considering the tank to be closed on all sides) and has the formula:

$T S A = 2 \left(l \cdot w + w \cdot d + d \cdot l\right)$

$T S A = 2 \left(\left[6 \cdot 5\right] + \left[5 \cdot 4.5\right] + \left[4.5 \cdot 6\right]\right)$

$T S A = 2 \left(30 + 22.5 + 27\right)$

$T S A = 2 \times 79.5$

$T S A = 159$

The total surface area of the tank is $159 {m}^{2}$.