Question

A solid silver paperweight in the form of a square pyramid is shown below. If silver costs $0.12 per cubic centimeter, how much would it cost to manufacture 6 paperweights?

Answer 1

Answer:

It would cost $232.32, this answer is rounded.

Step-by-step explanation:

The formula for the volume of a square pyramid is:

$V=a^2\frac{h}{3}$

So its just:

$8.8^2\frac{12.5}{3} = 322.67 cm^3$

Then you just multiply the volume by the cost per cubic centimetre:

$322.67cm^3* 0.12= 38.704$

After just multiply the cost of one by how many you want, which is 6:

$38/704*6=232.32$

Answer 2

The cost to manufacture 6 paper weight is $232.32

Volume of a square pyramid:

• v =  1 /3 b²h

where

b = base

h = height

Therefore,

v =  1 / 3 × 8.8² × 12.5

v = 1 / 3 × 77.44 × 12.5

v = 968 / 3

v = 322.666666667 cm³

1 cm³ = $0.12

322.67 cm³ = ?

cost of a paperweight = 322.67 × 0.12 = $38.72

Therefore,

1 paper weight = $38.72

6 paper weight = ?

cross multiply

cost of 6 paper weight = 6 × 38.72

cost of 6 paper weight = $232.32

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