If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure?
figure is composed of a right square pyramid on top of a square prism. the sides of the square pyramid are equal to the sides of the square prism, the length and width of the square prism is w, the height of the square prism is x, and the height of the square pyramid, which forms a right angle with the center, is y.
1008 units2
720 units2
624 units2
384 units2

the correct answer is second option

720 units²

step-by-step explanation:

from the figure we get w = 12 units,   x = 7 units, and y = 8 units

to find the slant height of triangle

l² = (w/2)² + y

  = 6² + 8

  = 36 + 64 = 100

l = √100 = 10 units

to find the surface area of given figure

surface area = base area + 4 side rectangle area   + 4 triangle area

  = w² + 4wx + (1/2)wl

  = 12 + (4 * 12 * 7) + (1/2)*12*10

  = 240 + 144 + 336

  = 720 units

4

step-by-step explanation: