Bubble Crash

Folding Cartons

Folding Cartons

Any smart boys want to help me ALGEBRA please explain to me im not very smart?

An open box is formed from a square piece of cardboard, by removing squares of side 4 in. from each corner and folding up the sides. If the volume of the carton is then 32 in3, what was the length of a side of the original square of cardboard?

Let the length of each side of the original square of cardboard be x inches.
after removing squares of 4 inches from each corner of the cardboard, base area = (x – 8)²

so, volume of the open box so formed = (x – 8)² * 4 = 32
=> (x – 8)² = 8
=> (x – 8)² = (2√2)²
=> (x – 8)² – (2√2)² = 0
=> (x – 8 – 2√2) * ( x – 8 + 2√2) = 0

=> x = 8 + 2√2 OR x = 8 – 2√2 (not possible)

D. (8 + 2√2) inches is correct answer.

Folding Cartons Boxes 2 5/8" x 3/4" x 2 5/8" White Reverse Tuck 1000 count case $60.00

White Reverse Tuck Folding Cartons 2 5/8" x 2" x 2 5/8" (500-Box Bundle) $89.95

Kraft Reverse Tuck Cardboard Folding Cartons 3" x 3" x 6" (250-Box Case) $80.95

Kraft Reverse Tuck Folding Cartons 6" x 4" x 6" (200-Box Bundle) $80.10

Kraft Reverse Tuck Cardboard Folding Cartons 2" x 2" x 7" (500-Box Case) $89.95

White Reverse Tuck Cardboard Folding Cartons 6" x 1 1/2" x 6" (250-Box Case) $98.95

White Reverse Tuck Folding Cartons 2 5/8" x 1 1/16" x 2 5/8" (1000-Box Case) $143.95

Kraft Reverse Tuck Folding Cartons 4 7/8" x 2 1/16" x 4 7/8" (250-Box Case) $76.45

White Cardboard Reverse Tuck Folding Cartons 4 1/2" x 3 1/2" x 5" (250-Box Case) $98.95

Kraft Reverse Tuck Folding Cartons 2 1/2" x 2 1/2" x 8" (250-Box Case) $80.95

Kraft Reverse Tuck Cardboard Folding Cartons 3" x 3" x 4" (250-Box Case) $62.95

White Reverse Tuck Folding Cartons 2 5/8" x 3/4" x 2 5/8" (1000-Box Case) $134.95

Kraft Reverse Tuck Cardboard Folding Cartons 6" x 1 1/2" x 6" (250-Box Case) $85.45

Kraft Reverse Tuck Folding Cardboard Cartons 2" x 2" x 4" (1000-Box Case) $130.45

White Reverse Tuck Cardboard Folding Cartons 4 1/2" x 1 7/8" x 4 1/2"(250-Boxes) $76.45

White Reverse Tuck Cardboard Folding Cartons 2 1/2" x 2 1/2" x 8" (250-Box Case) $85.45

Kraft Reverse Tuck Cardboard Folding Cartons 3" x 3" x 3" (250-Box Case) $58.45

250 White Reverse Tuck Folding Cartons 2 1/2" x 2 1/2" x 6" (250-Carton Case) $64.57

500 White Folding Cartons 2 1/2" x 2 1/2" x 4" $71.10

White Reverse Tuck Cardboard Folding Cartons 5 1/4" x 2 1/4" x 5 1/4"(250-Boxes) $89.95

Kraft Reverse Tuck Folding Cartons 3" x 2" x 5" (500-Box Case) $89.95

White Reverse Tuck Cardboard Folding Cartons 2 1/2" x 1 3/4" x 4" (500-Box Case) $85.45

Kraft Reverse Tuck Cardboard Folding Cartons 2" x 2" x 3" (1000-Box Case) $121.45

Kraft Reverse Tuck Cardboard Folding Cartons 4 1/2" x 3 1/2" x 5" (250-Box Case) $85.45

White Reverse Tuck Cardboard Folding Cartons 4" x 4" x 6" (250-Box Case) $112.45

White Reverse Tuck Cardboard Folding Cartons 5 1/4" x 1" x 5 1/4" (250-Box Case) $85.45

White Reverse Tuck Folding Cartons 2 1/2" x 1 1/4" x 2 1/2" (1000-Box Case) $121.45

Kraft Reverse Tuck Folding Cartons 3" x 2" x 3" (500-Box Case) $89.95

White Reverse Tuck Cardboard Folding Cartons 4" x 4" x 4" (250-Box Case) $89.95

Kraft Reverse Tuck Folding Cartons 4 1/2" x 1 7/8" x 4 1/2" (250-Box Case) $71.95

White Reverse Tuck Folding Cartons 2 3/8" x 7/8" x 2 3/8" (1000-Box Case) $121.45

Kraft Reverse Tuck Cardboard Folding Cartons 2" x 1 1/4" x 3" (1000-Box Case) $121.45

White Reverse Tuck Cardboard Folding Cartons 5" x 5" x 5" (200-Box Case) $98.95

White Reverse Tuck Cardboard Folding Cartons 4" x 3" x 5" (250-Box Bundle) $94.45

Kraft Reverse Tuck Fibreboard Folding Cartons 3" x 1 5/16" x 3" (1000-Box Case) $157.45