Question

If the figure forms the base of a right solid 110 centimeters high, find the surface area​

Answer 1

`60200cm^(2)`

Explanation:

(I am assuming that the units for the measurements in this question are all centimeters)

Surface area = 2 * (Area of Base) + (Perimeter of base)*(Height)

First, we'd need to solve for the area of the base by finding the area of the triangle and subtracting it from the area of the rectangle. The area of the rectangle is
`100 * 150 = 15000`. The area of the triangle is
`(1)/(2) * 120 * 90 = 5400`. (We can do this because it is a right triangle with leg lengths in the pattern of a 3-4-5 triangle.) Now, subtracting the area of the triangle from the rectangle, we get
`15000 - 54000 = 9600`. This is the area of the base.

Next, the perimeter of the base is
`100 + 150 + 90 + 120 = 460`. Multiplying this by the height, we get
`460 * 110 = 50600`.

Finally, we add 9600 and 50900 to get
`9600 + 50900 = 60200`.