figure is represented schematically an Aquarium in the form of a right prism
with square floor, which features 8 dm floor side and the lateral edge of Aquarium of 5 dm. The faces
of the Aquarium are made of glass. The Aquarium floor is made from a different
material. Aquarium is not covered. Into Aquarium is located water up to a
height of 4dm (glass thickness neglect).
a) Calculate how many litres of water
are in the Aquarium,
b) Calculate how many square metres of
glass are needed to into 100 pcs. of Aquarium, having the dimensions given in
c) Show that, at any time, the distance
between two fish is less than or equal to 12 dm.
In the figure bellow
it is represented the outline of a rectangular room with an area of 48 square meters.
We note ABCD this rectangle.
It is known
that the width is three quarters (¾ ) of the length of the room.
Inside the room
is a fireplace (a stove), represented in the figure by the square MNPD with the
one meter side.
In the room it
is installed hardwood floor except shaded area MNPD where is the stove. a) find the
length of the room; b) knowing that
losses represent 10% of the floor area that will be covered with parquet flooring,
show that it is enough to buy 51.7 square meter of needed parquet flooring, c) the parquet
flooring is sold in packs each containing 2,5 square meters of parquet flooring.
The price of each box with parquet flooring is 43 $. Find the minimum amount of
money required to purchase needed parquet flooring.