a manufacturer is designing a new container for their chocolate-covered almonds. Their original container was a cylinder with the height of 18 cm and a diameter of 14 cm. the new container can be modeled by a rectangular prism with a square base and will contain the same amount of chocolate-covered almonds. if the new container's height is 16 cm, determine and state, to the nearest tenth of a centimeter, the side length of the new container if both containers contain the same amount of almonds

The side length of the rectangular prism with a square base is 13.2 cm if the original container was a cylinder with the height of 18 cm and a diameter of 14 cm.

What is a cylinder?

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

The radius of the cylinder r = 14/2 = 7 cm

The volume of the cylindrical container V = π(7)²(18) = 882π cubic cm

Let's suppose the side length is L:

Then the volume of the rectangular prism is the same as the cylindrical container:

882π = L×L×16 (h = 16 cm)

882π = 16L²

L = 13.15 ≈ 13.2 cm

Thus, the side length of the rectangular prism with a square base is 13.2 cm if the original container was a cylinder with the height of 18 cm and a diameter of 14 cm.

Learn more about the cylinder here:

brainly.com/question/3216899

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