Answer:
The volume of the shipping box is 96 cubic square feet.
Step-by-step explanation:
A rectangular prism is a three-dimensional shape with six faces, all of which are rectangles. It’s also known as a cuboid or simply a box. Every rectangular prism has:
8 vertices
12 edges
6 faces
To calculate the volume of a rectangular prism, we use the following formula:
[ \text{Rectangular prism volume} = \text{length} \times \text{width} \times \text{height} ]
Given that the base area (length × width) is 16 square feet and the height is 6 feet, we can find the volume:
First, let’s find the length and width. Since the base area is 16 square feet, we have:
[ \text{Base area} = \text{length} \times \text{width} = 16 , \text{ft}^2 ]
Solving for either the length or width, we get:
[ \text{length} \times \text{width} = 16 , \text{ft}^2 ] [ \text{length} = \frac{16}{\text{width}} ]
Now, let’s use the volume formula:
[ \text{Volume} = \text{length} \times \text{width} \times \text{height} ] [ \text{Volume} = \left(\frac{16}{\text{width}}\right) \times \text{width} \times 6 ] [ \text{Volume} = 96 , \text{ft}^3 ]
Therefore, the volume of the shipping box is 96 cubic square feet.
sorry for the random lettering i was trying to use code to write down the numbers!
