A container is in the shape of a cuboid - Edexcel - GCSE Maths - Question 9 - 2019 - Paper 2

The container is rac{2}{3} full of water. Thus, the volume of water $V_w$ is:

V_w = rac{2}{3} imes 3420 ext{ cm}^3

Calculating this gives:

$V_w = 2280 ext{ cm}^3$

Since $1 ext{ cm}^3$ is equivalent to $1 ext{ ml}$, the volume of water in ml is:

$V_w = 2280 ext{ ml}$

To find the greatest number of cups that can be filled with the water from the container, divide the total volume of water by the volume of one cup:

$ext{Number of cups} = \frac{V_w}{ ext{Volume of one cup}} = \frac{2280 ext{ ml}}{275 ext{ ml}}$

Calculating this gives approximately:

$\text{Number of cups} = 8.29$

The greatest number of cups that can be completely filled is therefore $8$.