A box-shaped observation terrarium is to be constructed where: the base, left, and right sides of the box are formed from a single sheet of metal;and the front, back, and top are formed from another material like a screen or glass. The metal sheet starts as a rectangle, and the left and right sides are bent up at a right angle so that the height on each side is h meters. If the sheet of metal starts with the dimensions 8 meters front-to-back by 7 meters left-to-right, and the sides are folded up from the 7 meter-long-side, which height produces the maximum final terrarium volume?
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
A box-shaped observation terrarium is to be constructed where:
the base, left, and right sides of the box are formed from a single sheet of metal;and the front, back, and top are formed from another material like a screen or glass.
The metal sheet starts as a rectangle, and the left and right sides are bent up at a right angle so that the height on each side is h meters.
If the sheet of metal starts with the dimensions 8 meters front-to-back by 7 meters left-to-right, and the sides are folded up from the 7 meter-long-side,
which height produces the maximum final terrarium volume?
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