Answer:
V = 23.85 ft³
Step-by-step explanation:
The dimension of the square base = x ft by x ft
Height of box = y
Volume of the box,
Cost of top = $4 *
Cost of the bottom = $9 *
Cost of the sides = $3 * 4xy
Total cost = 4x² + 9x² + 12xy
Total cost = 13x² + 12xy
Total cost = $193
193 = 13x² + 12xy
But volume, V = x²y
V =
V = ...................(1)
At maximum value, V' = 0
0 =
x = 2.23
Put the value of x into (1)
V = 23.85 ft³
The ratio of corresponding sides is same for all the sides for similar polygon. the correct proportion is,
Thus the option H is the correct option.
To find the correct proportion we need to know about the properties of slimier polygon.
<h3>What are the properties of similar polygon?</h3>Two polygons are said to be similar or congruent pentagon-
The corresponding angle of two pentagons are congruent.
The ratio of corresponding sides is same for all the sides.
The figure given in the problem of similar two polygons with six sides.
Rearrange the second figure as shown in figure.
As for the similar polygons, the ratio of corresponding sides is same for all the sides.
Thus the sides shown in the two rearranged figure must be same. Therefore,
Hence the correct proportion is,
Thus the option H is the correct option.
Learn more about the similar polygon here;