A block of cheese 5 inches by 2 inches by 3 inches is coated in a very thin layer of wax. The cheese is cut into 240 cubes with half inch edges. how many cubes will not have wax on them?
2006-11-26 09:52:40 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Total number of cubes
= 10 * 4 * 6 (as there are 2 / inch)
= 240
No of cubes with no wax
= no of 'inside' cubes
= (10 - 2)* (4 - 2) * (6 - 2)
= 8 * 2 * 4
= 64
2006-11-26 10:08:02 · answer #1 · answered by Wal C 6 · 0⤊ 0⤋
5 x 2 x 3 = 30in^3.
Vol. = L x B x H = 30in^3.
240 cubes = 30in^3.
1 cube = 30in^3 / 240 = 0∙125in^3.
Because it's a cube:
→ L = B = H = 0∙125in^3
→ L = Cube root of (0∙125in^3).
→ L = 0∙5in.
Now the cubes with no contact with the inner surface will be the inner cubes.
Since the cubes are ½in in height, take this distance from all of the sides.
Now the block of cheese size becomes:
4in by 1in by 2in.
Since the cubes length are half an inch in length, these numbers can be doubled.
8 x 2 x 4 = 64 cubes.
Answer: 64 cubes without any thin layer of wax.
2006-11-26 10:25:48 · answer #2 · answered by Brenmore 5 · 0⤊ 0⤋
subtract half an inch from each side. This will elminate all the cubes that touch the edge. your new cheese will have a volume of (9/2)(3/2)(5/2)=135/8. each cube has a volume of 1/8. So, divide 135/8 by 1/8 and you get 135.
2006-11-26 10:03:58 · answer #3 · answered by pzratnog 3 · 0⤊ 0⤋
every piece will have wax
2006-11-26 10:04:15 · answer #4 · answered by Rockell 3 · 0⤊ 0⤋
I'd probably know if I payed a bit of attention in math at my gay school with no football team!!!!!!!!!!!!!!!
2006-11-26 09:55:52 · answer #5 · answered by Anonymous · 0⤊ 2⤋