Arecycling bin is in the shape of a right rectangular prism. the bin is 12 meters long, 512 meters wide, and 612 meters tall. what is the volume of the recycling bin? 3534 m³ 360 m³ 429 m³ 51834 m³

Right rectangular prism is nothing but cuboid.

If l is the length of a rectangular prism, w, its width and h, its height, then the volume of the rectangular prism is V = lwh.

It is given that the length of the recycling bin is 12 meters, its width is 512 meters and height is 612 meters.

Therefore, volume = lwh

= 12 × 512 × 612 cubic meters

= 3760128 cubic meters.

Hence, volume of the recycling bin is 3760128 .

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

step-by-step explanation:

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