Question

A triangular plate with base 6 m and height 2 m is submerged vertically in water such that the highest vertex of the plate is 4 meters below the surface and the base is horizontal to the surface. What is the area of the submerged portion of the plate?

1) 8 sq. m
2) 10 sq. m
3) 12 sq. m
4) 14 sq. m

Answer 1

To find the submerged portion of a triangular plate, calculate the area using the base and height of the submerged portion.

Step-by-step explanation:

To find the area of the submerged portion of the plate, we first need to find the height of the submerged portion. Since the highest vertex of the plate is 4 meters below the surface and the base is horizontal to the surface, the height of the submerged portion is 2 meters + 4 meters = 6 meters.

The area of a triangle is given by the formula: 1/2 × base × height. In this case, the base is 6 meters and the height is 6 meters. Plugging these values into the formula, we have: 1/2 × 6 meters × 6 meters = 18 square meters.

Therefore, the area of the submerged portion of the plate is 18 square meters. So, the correct answer is option 3) 12 sq. m.