A toy is packaged in a box 1 foot long by 1 foot high by 1 foot wide. How many of these boxes should fit in a shipping crate that is 48 inches high, 24 inches wide, and 60 inches long?
Change the dimensions of the shipping crate to feet.
4 * 2 * 5 = ?
How many toy boxes fit into that container?
To find out how many of these toy boxes can fit in the shipping crate, we need to calculate the total volume of both the toy box and the shipping crate.
First, let's calculate the volume of the toy box.
Since the toy box is a rectangular prism with dimensions 1 foot by 1 foot by 1 foot, its volume can be found using the formula:
Volume = length × width × height
In this case, the length, width, and height are all equal to 1 foot.
Thus, the volume of the toy box is 1 foot × 1 foot × 1 foot = 1 cubic foot.
Now, let's calculate the volume of the shipping crate.
Since the shipping crate is also a rectangular prism, we can use the same formula to find its volume.
However, the dimensions are given in inches, so we need to convert them to feet to ensure consistent units.
Given that 1 foot is equal to 12 inches, the dimensions of the shipping crate in feet are as follows:
Height = 48 inches / 12 inches per foot = 4 feet
Width = 24 inches / 12 inches per foot = 2 feet
Length = 60 inches / 12 inches per foot = 5 feet
Therefore, the volume of the shipping crate is 4 feet × 2 feet × 5 feet = 40 cubic feet.
To find out how many toy boxes can fit in the shipping crate, we need to divide the volume of the shipping crate by the volume of the toy box:
Number of toy boxes = Volume of shipping crate / Volume of toy box
Number of toy boxes = 40 cubic feet / 1 cubic foot = 40.
Thus, you can fit 40 of these toy boxes in the given shipping crate.