97.8k views
0 votes
here are nets of three cardboard boxes that are all rectangular prisn the boxes will packed with 1 centimeters cube all lengths are in centimeters.1. compare the surface area of the boxes which box will use the least cardboard

here are nets of three cardboard boxes that are all rectangular prisn the boxes will-example-1
User Khaalid
by
3.8k points

1 Answer

5 votes

Box A

Surface Area = sum of the areas of the individual boxes

Surface Area A = 2 ( 3 x 3 ) + 3 ( 2 x 3) + 1 (2 × 2) = 18 + 18 + 4 = 40 sq.cm

Surfaca Area B

= 2 ( 3x 6) + 2 ( 1 x 6) + 2 ( 1 x 3) = 36 + 12 + 6 = 54 sq.cm

Surface Area C = 6 ( 3x 3) = 54 sq cm.

Box A has the least surface area.

User Qbzenker
by
4.6k points