Solution Step 0/0
The 3D piece has been produced from a regular cube made of steel.
How much does the piece weigh if the cube weighed 250 grams? All 6 openings on the sides are through holes.
How much does the piece weigh if the cube weighed 250 grams? All 6 openings on the sides are through holes.
Explanations
The big cube consists of 125 small cubes (5x5x5). Thus, each small cube weighs 2 grams. The small cubes removed are:a) 24 cubes in the 6 through holes (please, note, there are intersections in holes, thus, each intersection is in fact one cube removed) - left diagram;
b) 12 cubes on the edges - right diagram.
36 small cubes removed in total. The final weight of the obtained piece: 250 - 2x36 = 178 (grams).
Check 225 grams
Check 208 grams
Check 196 grams
Check 178 grams
