Miss Dodson is wrapping a gift that is in a rectangular shoe box. The box is 12 inches long, 4 inches tall and 8 inches wide. How much wrapping paper will she need to cover the box if she doesn't plan to overlap any of the paper? Your answer would be labeled as inches squared or square inches.

352 inches squared

Step-by-step explanation:

the amount of wrapping paper needed can be determined by calculating the total surface area

total surface area = 2lw+2lh+2hw

2(12x 8) + (2 x 12 x 4) + (2 x 4 x 8) = 192+  96 + 64

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

multiply length by height. multiply the length by the height, and then double the product. work out 10 x 10 results = 100 square inches, then work out 100 x 2 = 200. the answer is 200 square inches.

step-by-step explanation: