Answer:
The answer to your question is 23.2 ft
Step-by-step explanation:
Data
length square pyramid = 10 ft
width of a cube = 6 ft
height of the pyramid = ?
The surface area is equal in both figures.
Formula
Surface area of a cube = 6a²
Surface area of a square pyramid = ab + al = l x l + (l x h) /2
Process
1.- Calculate the surface area of the cube
Ac = 6(6)² = 6(36)
= 216 ft²
2.- Substitute data in the square pyramid formula
Ap = (10 x 10) + (10h)/2
3.- Equal both areas
216 = 100 + 5h
- Solve for h
216 - 100 = 5h
116 = 5h
h = 116 / 5
- Result
h = 23.2 ft
Answer: 5.8 feet
Step-by-step explanation:
Cube: L*W*sides(6)
6*6*6=216 sq ft^2
It's the surface area for both cube and square pyramid.
Square pyramid: The length of each side of the base of the square pyramid is 10 feet, which means both Length and width are 10 feet.
Base: L(10)*W(10)=100 ft
So, we are doing backward from the original formula
216-100=116 ( mean the total surface area of square pyramid mins the base)
116/4=29 (4 mean the 4 triangles since it square pyramid)
29*2=58 (2 means the triangle)
58/10=5.8 feet (10 means the length)
-hope you understand-
