SOLUTION: A block of stone weighs 217 lbs. with the dimensions 20 in. in length, 15 in. in width, and 8 in. in thickness. Determine dimensions of another block weighing 13888 lbs. Length

Question 1060446: A block of stone weighs 217 lbs. with the dimensions 20 in. in length, 15 in. in width, and 8 in. in thickness. Determine dimensions of another block weighing 13888 lbs.
Length * width * thickness = volume.
Unsure how to continue. Thanks.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39628) (Show Source): You can put this solution on YOUR website!
"Another block", how? Are the two blocks supposed to be similar? Assuming that they are ,
and also expect that the density of the two blocks will be equal.

volume is directly proportional to mass.

k is a factor applied to each dimension. Solve for k in the equation and then find each of the three dimensions using k.
Answer by MathTherapy(10556) (Show Source): You can put this solution on YOUR website!
A block of stone weighs 217 lbs. with the dimensions 20 in. in length, 15 in. in width, and 8 in. in thickness. Determine dimensions of another block weighing 13888 lbs.
Length * width * thickness = volume.
Unsure how to continue. Thanks.

Larger block's volume (13,888 lbs) is 64 times smaller block's volume (217 lbs)
Hence, the blocks being 3-dimensional, we find the cube root of 64, which is 4
This means that each dimension should be multiplied by 4, thus giving us the following:
That's all.......nothing COMPLEX!!
RELATED QUESTIONS
A piece of copper wire is 1/8" in thickness and is 20 yards in length. Determine weight... (answered by josgarithmetic)
A block of wood measuring 10 in x 8 in x 2 in, weighs 3 lbs 10 oz. What is the density of (answered by lwsshak3)
The weight of a rectangular block of metal varies jointly as its length, width and... (answered by mananth)
A tank (open) has the following inside dimensions: Length; 2 ft. Width; 2 ft.... (answered by ikleyn)
A length of pipe is to be made from 100 lbs. of lead. Determine length of pipe.... (answered by ikleyn,josmiceli)
the slate of a rectangular pool table has a width of 4 feet, a length of 8 feet, and a... (answered by addingup)
The weight of a rectangular block of metal varies jointly as its length, width and... (answered by josgarithmetic)
The weight of a rectangular block of metal varies jointly as its length, width and... (answered by josgarithmetic)
A sq. ft. of wrought iron weighs 40 lbs. Determine weight of a portion 11 in. by 9 in. (answered by josgarithmetic,ikleyn)