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 =
Number of capfuls of liquid soap needed =
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.