What is the surface area of the figure shown?

The surface area of the figure = 544 cm²

Step-by-step explanation:

From the figure we can see that a cuboid and square pyramid

Total surface area = (Area of cuboid + Area of pyramid)

To find the area of cuboid

Area of cuboid = base area + area of 4 lateral face

Base area = side * side  = 8 * 8 = 64 cm²

Area of 4 lateral face = 4 *(area of one rectangle) = 4 *(11*8) = 352 cm²

Area of cuboid  = 64 + 352 = 416 cm²

To find the area of square pyramid

Slant height of pyramid = 8 cm

Base = 8 cm

Area of pyramid = 4 *(area of one triangle face) = 4(8*8/2) = 128 cm²

To find the total surface area

Total surface area = (Area of cuboid + Area of pyramid)

= 416 + 128 = 544

Therefore the surface area of the figure = 544 cm²

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3