So, the area of the shaded part of the rectangle is 100
A regular hexagon has a side length of 6 units.
2 answers:
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So, the area of the shaded part of the rectangle is 100
Answer:
154 small cubes.
Step-by-step explanation:
We are given the dimensions of the cuboid as 72 cm × 66 cm × 56 cm.
So, length of the cuboid, <em>l</em> = 72 cm
Breadth of the cuboid, <em>b</em> = 66 cm
Height of the cuboid, <em>h</em> = 56 cm
Capacity of cuboid = <em>l</em> × <em>b</em> × <em>h</em> = 72 × 66 × 56 = 266112 cm³
Now, we have to find the number of small cubes of side 12 cm each that can be placed in the given cuboid.
Now, length of each side of each small cube, <em>s</em> = 12 cm
Volume of each small cube = <em>s</em>³ = (12)³ = 12 × 12 × 12 = 1728 cm³
For calculating the number of small cubes that can be placed in the given cuboid, we will divide the capacity of given cuboid by volume of each small cube.
Required number of cubes =
⇒ Number of cubes =
∴ 154 small cubes each of side 12 cm can be placed inside the given cuboid of dimensions 72 cm × 66 cm × 56 cm.
Answer:
If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit P can be expressed as:
The restriction for cloth can be written as:
The restriction for metal can be written as:
The restriction for wood can be written as:
The condition for S and H to be positive is:
Step-by-step explanation:
We have an objective function that, in this case, we want ot maximize.
This function is the Profit (P).
If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit can be expressed as:
We have 3 restrictions, plus the condition that both S and H are positive.
The restriction for cloth can be written as:
The restriction for metal can be written as:
The restriction for wood can be written as:
The condition for S and H to be positive is: