The diagram below shows a pyramid glued to a the top of a cube. given that the slant height of the pyramid is 5.9 centimeters, find the total surface area of the solid rounded to the nearest square centimeter. plz . answer quick.

The total surface area is

Step-by-step explanation:

we know that

The total surface area of the composite figure is equal to the lateral area of the pyramid plus the lateral area of the cube plus the area of the base of the cube

The lateral area of the pyramid is equal to the area of the four lateral triangular faces of the pyramid

The lateral area of the cube is equal to the area of the four lateral square faces of the cube

so

we have that

substitute

Round to the nearest square centimeters

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3