Consider the net of a rectangular box where each unit on the coordinate plane represents four feet. If a sheet of plywood measures 4 ft x 8 ft, how many sheets of plywood will a carpenter need to build the box?
A) 3
B) 4
C) 5
D) 6
The area of a sheet of plywood is: A1 = (4) * (8) A1 = 32 feet ^ 2 The area of the box is given by: A2 = (16) * (8) + (2) * (16) A2 = 160 feet ^ 2 The number of sheets of plywood is: N = A2 / A1 N = 160/32 N = 5 Answer: a carpenter will need 5 sheets of plywood to build the box. C) 5
