Question

Peter is making green paint by mixing blue and yellow paint in a cuboid container, shown below. The container has width of 30cm and length of 40cm and is full. He mixes blue paint and yellow paint in the ratio 2: 3. Peter uses 8.4 litres of blue paint. Calculate the height of the container

Answer 1

Answer: height = 17.5cm

Step-by-step explanation: Peter mixes blue and yellow paint in the ratio 2:3, which means:

$\frac{2}{3} = \frac{8.4}{x}$

$x = \frac{8.4*3}{2}$

x = 12.6L

The container is full with the two paints, so total volume:

V = 12.6 + 8.4

V = 21L

Knowing that 1L = 1dm³ and sides of cuboid is measure in cm:

V = 21dm³ = 21000cm³

Volume of a cuboid is calculated as:

V = width*length*height

Height of the container is

height = $\frac{V}{width*length}$

height = $\frac{21000}{30*40}$

height = 17.5cm

The height of the container is 17.5cm.