Answer:
A. V = 1 cube unit, SA = 6 squared units, SR = 6: 1
B. V = 8 cube units, SA = 24 squared units, SR = 3: 1
C. V = 27 cube units, SA = 54 squared units, SR = 2: 1
D. V = 64 cube units, SA = 96 squared units, SR = 3: 2
(V is the volume, SA is the surface area and SR is the simplified ratio)
Explanation:
All the shapes given in the question are squares, so;
volume = length × breadth× height
Surface Area = length× breadth× 6
Simplified ratio = surface area : volume
Applying these to each shape would give the given answers.
In the first shape, length = breadth = height = 1 unit
In the secon shape, length = breadth = height = 2 unis
In the second shape, length = breadth = height = 3 units
In the fourth shape, length = breadth = height = 4 units
