Final answer:
To find the missing measurement of the large rectangular prism container, we can use the fact that Angel can fill the large container three times exactly with a small container. By setting up an equation using the volume formula for a rectangular prism, we can solve for the missing measurement. Simplifying the equation will give us the missing measurement of the large container.
Step-by-step explanation:
To find the missing measurement of the large rectangular prism container, we can use the fact that Angel can fill the large container three times exactly with a small container. Let's say the missing measurement of the large container is x. Since the small container can fit exactly three times into the large container, the volume of the large container should be 3 times the volume of the small container. The volume of a rectangular prism is given by the formula V = length x width x height. Therefore, the volume of the large container is 3 times the volume of the small container:
Volume of large container = 3 x Volume of small container
(length_Large x width_Large x height_Large) = 3 x (length_Small x width_Small x height_Small)
From the given measurements of the small container, we have:
1.80 cm x 2.05 cm x 3.1 cm = Volume of small container
Substituting this into the equation, we get:
(length_Large x width_Large x height_Large) = 3 x (1.80 cm x 2.05 cm x 3.1 cm)
Now we can solve for the missing measurement, x, by dividing both sides of the equation by the product of the given measurements of the large container:
x = (3 x 1.80 cm x 2.05 cm x 3.1 cm) / (product of the other two measurements of the large container)
Simplifying this will give us the missing measurement of the large container.