A monument is to be constructed in the form of a pyramid with base ABC in which AB = AC = 15M and BC = 20m. The vertex,v is 12m vertically above A
Calculate the area of triangle VAB
Calculate the area of triangle VBC
Special bricks for the outer faces are required and 14 bricks will cover 1m2
Estimate, to the nearest 1000, how many bricks are required
see your other posting -- this is just the same idea.
To calculate the area of triangle VAB, we can use the formula for the area of a triangle:
Area = (1/2) * base * height
In this case, the base of triangle VAB is the length of AB, which is given as 15m. The height of triangle VAB is the vertical distance from V to the base AB, which is given as 12m. Plugging in the values:
Area of VAB = (1/2) * 15m * 12m = 90m^2
Similarly, to calculate the area of triangle VBC, we can use the same formula:
Area of VBC = (1/2) * base * height
Here, the base of triangle VBC is the length of BC, which is given as 20m. The height of triangle VBC is the vertical distance from V to the base BC, which is also given as 12m. Plugging in the values:
Area of VBC = (1/2) * 20m * 12m = 120m^2
Now, to estimate the number of bricks required, we need to calculate the sum of the areas of triangles VAB and VBC, and then divide by the number of bricks that cover 1m^2.
Total area = Area of VAB + Area of VBC = 90m^2 + 120m^2 = 210m^2
Assuming that 14 bricks cover 1m^2, we can estimate the number of bricks required:
Number of bricks = Total area / (Number of bricks per m^2)
Number of bricks = 210m^2 / 14 bricks per m^2 = 15,000 bricks (rounded to the nearest 1000)
Therefore, an estimated 15,000 bricks are required to cover the outer faces of the monument.