The volume of a cube is given by V = x3 , where x is the length of an edge of the cube. The area of a square is given by A = x2 , where x is the length of a side of the square. A given cube has a volume of 1728 cubic inches. **Explain how the information given can be used to calculate the surface area of the cube. Use specific details and domain specific vocabulary to construct a coherent response.**

65

Step-by-step explanation:

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

answer: 8

step-by-step explanation: if you add the possibilities 5 different flavor and 3 different sizes 5+3=8