Tavon makes gift boxes of various sizes by removing a square from each corner
of a rectangular piece of cardboard and then folding up the sides, as shown in
the figure. He wants to know how much cardboard he uses for each box and the
volume of each box.
1. To make a box 3 inches deep, Tavon removes a
3-inch by 3-inch square from each corner of an
x-inch by x-inch square of cardboard. Write a
quadratic function A in standard form to model
the area of the remaining cardboard after the
corners are removed. Justify your answer.

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

happy to

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step-by-step explanation: