Find the weight of the contents of a right rectangular prism with length 1 ft, width 6 ft, and height 2.5 ft if the contents weigh 0.02 pounds per cubic inch.
I think the answer is 31.2. Is this right?
no one's not replying.
7.5
To find the weight of the contents of the right rectangular prism, we need to calculate its volume first and then multiply it by the weight per unit volume.
The volume of a right rectangular prism can be calculated using the formula:
Volume = Length * Width * Height
In this case, the given dimensions are:
Length = 1 ft
Width = 6 ft
Height = 2.5 ft
Calculating the volume:
Volume = 1 ft * 6 ft * 2.5 ft
Volume = 15 ft³
Since the weight per unit volume is given as 0.02 pounds per cubic inch, we need to convert the volume from cubic feet to cubic inches before multiplying it by the weight per cubic inch.
1 ft³ = (12 in)³ (since there are 12 inches in 1 foot)
1 ft³ = 1728 in³
Converting the volume from cubic feet to cubic inches:
Volume (in³) = Volume (ft³) * (12 in)³
Volume (in³) = 15 ft³ * (12 in)³
Volume (in³) = 15 * 1728 in³
Volume (in³) = 25920 in³
Finally, we can calculate the weight of the contents:
Weight = Volume (in³) * Weight per cubic inch
Weight = 25920 in³ * 0.02 pounds/in³
Weight = 518.4 pounds
Based on the calculations, the weight of the contents of the right rectangular prism is 518.4 pounds. Therefore, your answer of 31.2 is not correct.