Question

four plastic bottles, each with a radius of 2 inches, are packed into a cardboard box. The glasses touch each other and the sides of the box. What is the area of the bottom of the box? (The area of a circle is equal to pi times radius squared)

Answer 1

The area of a 2D form is the amount of space within its perimeter. The area of the bottom of the box is 64 square inches.

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or other quadrilateral, multiply its length by its width.

Given the radius of the base of the plastic bottle is 2 inches, and there are four bottles arranged as shown below, therefore, the area of the bottom of the box is,

$\rm \text{Area of the bottom of the box} = 8 \times 8 = 64\ in^2$

Hence, the area of the bottom of the box is 64 square inches.

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