Answer:
The cost of 6 silver paper weight is $0.24 b² h
Step-by-step explanation:
Given as :
The cost of silver paper weight = $0.12 per cubic centimeter
A solid silver paperweight in the form of a square pyramid
Let The base of square pyramid = b cm
The height of square pyramid = h cm
Now, The volume of square pyramid is given as :
Volume = [tex]\frac{1}{3}[/tex] × base² × height
Or, v = [tex]\frac{1}{3}[/tex] × b² × h
So , The volume of square pyramid = [tex]\frac{1}{3}[/tex] b² h cm³
Now, The cost of 1 cm³ silver paperweight = $0.12
So, The cost of [tex]\frac{1}{3}[/tex] b² h cm³ = $0.12 × [tex]\frac{1}{3}[/tex] b²h
I.e The cost of [tex]\frac{1}{3}[/tex] b² h cm³ = [tex]\frac{0.12}{3}[/tex] b² h
∴ The cost of [tex]\frac{1}{3}[/tex] b² h cm³ = $0.04 b² h
So, The cost of 6 paper weight = $0.04 b² h × 6
I.e The cost of 6 paper weight = $0.24 b² h
Hence The cost of 6 silver paper weight is $0.24 b² h . Answer
