Find the weight of the contents of a right rectangular prism with length 13 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 but I'm not sure. Is this right?
To find the weight of the contents of a right rectangular prism, you need to calculate its volume and then multiply it by the weight per cubic inch of the contents.
First, find the volume of the right rectangular prism using the formula:
Volume = length * width * height
Given that the length is 13 ft, the width is 6 ft, and the height is 2.5 ft, substitute these values into the formula:
Volume = 13 ft * 6 ft * 2.5 ft = 195 ft³
Now, convert the volume from cubic feet to cubic inches by multiplying it by a conversion factor of 12³, since 1 ft³ = 12 in³:
Volume in cubic inches = 195 ft³ * (12 in/ft)³ = 335,520 in³
Finally, multiply the volume in cubic inches by the weight per cubic inch to find the weight of the contents:
Weight = Volume in cubic inches * Weight per cubic inch
Weight = 335,520 in³ * 0.02 pounds/in³ = 6,710.4 pounds
Therefore, the weight of the contents of the right rectangular prism is 6,710.4 pounds.
Your answer of 31.2 is not correct.