Respuesta :

Answer : The number of capfuls of liquid soap needed to fill the rectangular soap dispenser are 12.

Step-by-step explanation :

First we have to calculate the volume of soap dispenser which is a cuboid.

Volume of cuboid = l × b × h

where,

l = length of cuboid = 16 cm

b = width of cuboid = 9 cm

h = height of cuboid = 4 cm

Now put all the given values in the above formula, we get:

Volume of cuboid = 16 cm × 9 cm × 4 cm

Volume of cuboid = 576 cm³

Now we have to calculate the volume of cap which is a cylinder.

Volume of cylinder = π r² h

where,

r = radius of cylinder = 2 cm

h = height of cylinder = 4 cm

Now put all the given values in the above formula, we get:

Volume of cylinder = 3.14 × (2 cm)² × 4 cm

Volume of cylinder = 50.24 cm³

Now we have to calculate the number of capfuls of liquid soap are needed to fill the rectangular soap dispenser.

Number of capfuls of liquid soap needed =  [tex]\frac{\text{Volume of soap dispenser}}{\text{Volume of cap}}[/tex]

Number of capfuls of liquid soap needed =  [tex]\frac{576cm^3}{50.24cm^3}[/tex]

Number of capfuls of liquid soap needed = 11.46 ≈ 12

Therefore, the number of capfuls of liquid soap needed to fill the rectangular soap dispenser are 12.