Write the word or phrase that best completes each statement or answers the question.
-A rectangular piece of tin has an area of 630 square inches. A square of 2 inches is cut from each corner,and an open box is made by turning up the ends and sides. If the volume of the box is 836 cubic inches,what were the original dimensions of the piece of tin?
A)15 in. by 42 in.
B)17 in. by 44 in.
C)13 in. by 40 in.
D)11 in. by 36 in.

Question

Quizplus · Accepted Answer

The original dimensions of the piece of tin are 15 inches by 42 inches. After cutting 2-inch squares from each corner and folding up the sides to form a box, the dimensions of the base of the box become (15-4) inches by (42-4) inches, or 11 inches by 38 inches, because 2 inches are removed from each side. The height of the box is 2 inches (the size of the cut-out square). The volume of the box is the product of its length, width, and height: $V = l \times w \times h = 11 \times 38 \times 2 = 836$ cubic inches, which matches the given volume, confirming the original dimensions of the tin.

Write the Word or Phrase That Best Completes Each Statement