Difference between revisions of "1982 AHSME Problems/Problem 16"
(Created page with "== Solution for Problem 16 == Each exterior unit square which is removed exposes 4 faces of the unit interior squares, so the entire surface area in square meters is <math>6...") |
m |
||
| Line 1: | Line 1: | ||
| − | == Solution | + | ==Problem== |
| + | A wooden cube has edges of length <math>3</math> meters. Square holes, of side one meter, centered in each face are cut through to the opposite face. The edges of the holes are parallel to the edges of the cube. The entire surface area including the inside, in square meters, is | ||
| + | |||
| + | <math>\text {(A)} 54 \qquad \text {(B)} 72 \qquad \text {(C)} 76 \qquad \text {(D)} 84\qquad \text {(E)} 86</math> | ||
| + | == Solution == | ||
Each exterior unit square which is removed exposes 4 faces of the unit interior squares, so the entire surface area in square meters is <math>6 \cdot 3^2 - 6 + 24=72.</math> | Each exterior unit square which is removed exposes 4 faces of the unit interior squares, so the entire surface area in square meters is <math>6 \cdot 3^2 - 6 + 24=72.</math> | ||
Latest revision as of 22:00, 16 June 2021
Problem
A wooden cube has edges of length 
meters. Square holes, of side one meter, centered in each face are cut through to the opposite face. The edges of the holes are parallel to the edges of the cube. The entire surface area including the inside, in square meters, is
Solution
Each exterior unit square which is removed exposes 4 faces of the unit interior squares, so the entire surface area in square meters is 
