Write the equations of the given lines.
Line 1: y-intercept = 3, slope = 2
Line 2: y-intercept = - 1, slope = -5

Carrie, a packaging engineer, is designing a container to hold 12 drinking glasses shaped as regular octagonal prisms. Her initial sketch of the top view of the base of the container is shown above.
If the length and width of the container base in the initial sketch were doubled, at most how many more glasses could the new container hold?

Note:
A few simple ideas are used in solving this problem, like, area of a rectangle is given by the product of its length and breadth and the basic idea of division.

Identify a line having zero slope

Find the area of triangle with base 5 cm and whose height is equal to that of the rectangle with base 5 cm and area 20 cm²

A cuboid box has a square base of side 7 units and a height of 12 units. What is the cylinder with the maximum volume, which can be carved out of this cuboid?

Calculate the area and height of equilateral triangle whose perimeter is 48 cm

Identify a line with an undefined slope.

Write an equation of the line with undefined slope and passing through (5,11).

Find the :
a. Area of triangle whose three sides are 8 cm, 15 cm, 17 cm long
b .Find the altitude from opposite vertex to the side whose length is 15cm

An arc of a circle measures 2.4 radians. To the nearest degree, what is the measure, in degrees, of this arc? (Disregard the degree sign when gridding your answer.)

Note:
Another answer for this problem could be taken as 137 as well.
Unitary method is finding out the value of one unit from the relation given and then multiplies the value of the single unit with the number of required units.

The pillars in a house are in a cylindrical shape. Calculate the amount of concrete required to build up 21 such pillars with radius and height as 20 cm and 10 m respectively.

Find the area of triangle whose base is 10 cm and height is 5 cm

Find the area of a piece of cardboard which is in shape of an equilateral triangle of side 12 cm.

The difference between the sides of right angle triangle containing the right angle is 7 cm and its area is 60 cm² . Calculate the perimeter of triangle.

The Sum of parallel sides of a trapezoidal window is 800 inch and its area is 40000 sq inches. What is the height of the window?

George took a nonstop flight from Dallas to Los Angeles, a total flight distance of 1,233 miles. The plane flew at a speed of 460 miles per hour for the first 75 minutes of the flight and at a speed of 439 miles per hour for the remainder of the flight. To the nearest minute, for how many minutes did the plane fly at a speed of 439 miles per hour?

Note:
The relation between speed, distance and time given by the relation above is very important. There could be many such questions formed which ask us to calculate any of the three quantities with certain conditions involved.