A rectangular prism as a volume of 120 cubic feet. What are the dimensions of 2 different possible rectangular prisms with a volume of 120 cubic feet?
To find two different possible rectangular prisms with a volume of 120 cubic feet, we'll need the dimensions that satisfy this condition. Let's list all possible sets of dimensions that result in a volume of 120 cubic feet.
First, factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.
Now, let's consider some possible combinations:
1) The dimensions could be:
Length = 1 ft, Width = 10 ft, Height = 12 ft
Using the formula for volume (Volume = Length x Width x Height), we get:
Volume = 1 ft x 10 ft x 12 ft = 120 cubic ft
2) Another set of dimensions could be:
Length = 2 ft, Width = 6 ft, Height = 10 ft
Calculating the volume using the formula, we get:
Volume = 2 ft x 6 ft x 10 ft = 120 cubic ft
These are two different possible rectangular prisms with a volume of 120 cubic ft.
To find the dimensions of possible rectangular prisms with a volume of 120 cubic feet, we need to consider the factors of 120.
The factors of 120 are:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.
We can look for pairs of factors that can be multiplied together to give a product of 120.
Here are two examples of rectangular prisms with a volume of 120 cubic feet:
1) Dimensions: length = 4 feet, width = 5 feet, height = 6 feet.
To find these dimensions, we considered the factor pair (4, 30) from the list above. The product of these dimensions gives a volume of 120 cubic feet: 4 * 5 * 6 = 120.
2) Dimensions: length = 6 feet, width = 4 feet, height = 5 feet.
To find these dimensions, we considered the factor pair (6, 20) from the list above. The product of these dimensions gives a volume of 120 cubic feet: 6 * 4 * 5 = 120.
Therefore, two possible rectangular prisms with a volume of 120 cubic feet are (4ft * 5ft * 6ft) and (6ft * 4ft * 5ft).
well,
120 = 2*2*2*3*5
Just pick 3 sets of factors from those combinations