Question

A sculpture sits on a pedestal in the shape of a square prism. The side lengths of a base of the prism are 3 feet. The height of the prism is 4 feet. The museum director wants to cover all but the underside of the pedestal with foil that costs $0.22 per square foot. How much will the foil cost?

Answer 1

Total cost of covering the pedestal is $12.54.

Explanation:

The pedestal is a square prism so top and bottom are of square shape.

Hence, we have here length = width

We know that the Total Surface Area of a Prism is:

`\text{Total Surface Area = } 2 (l* w+ w * h+ h * l)`

Where l is length,

w is width and

h is height of prism

We know that here w = l = 3 feet

and h = 4 feet

Also, underside of pedestal is not to be covered.

The underside of pedestal is square type.

So,

`\text{Required Total Surface Area = } l* w+ 2* w * h+2* h * l`

`\Rightarrow 3 * 3 + 2 * 3 * 4 + 2 * 3 * 4\\\Rightarrow 9 + 24 + 24\\\Rightarrow 57\ ft^(2)`

Cost of cover per square foot = $ 0.22

Total cost of
`57\ ft^(2)`
`\Rightarrow 0.22 * 0.57 = \$12.54`