Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-An open box is formed from a rectangular piece of cardboard that is 5 in. longer than it is wide, by removing squares of side 4 in. from each corner and folding up the sides. If the volume of the
Carton is then $336 \mathrm { in } ^ { 3 }$ , what were the dimensions of the original piece of cardboard?
A) 11 in. by 16 in.
B) 15 in. by 20 in.
C) 19 in. by 24 in.
D) 7 in. by 12 in.

Question

Quizplus · Accepted Answer

The volume of the box is given by the formula $ V = l \times w \times h $. Here, $ h = 4 $ in. (the height after folding), and the volume is $ 336 \mathrm { in } ^ { 3 }$. Solving for $ l $ and $ w $ using the equation $ (w-8)(l-8) \times 4 = 336 $ and $ l = w + 5 $, we find the dimensions to be 15 in. by 20 in.

Write the Word or Phrase That Best Completes Each Statement 336in3336 \mathrm { in } ^ { 3 }336in3

Write the Word or Phrase That Best Completes Each Statement $336 \mathrm { in } ^ { 3 }$