Question

A foam length , height , width is 1.5ft 1.5ft and .5ft respectively. Cost is rs 40 per square foot. And cost of cover is 20 per square foot

Answer 1

Total Cost is 1,124

Explanation:

First, we need to determine the total surface area of the Foam as follow

As the foam is in the cube shape because every dimension of the foam is the same.

To find the area we will use the following formula

Area = 6
`a^(2)`

Where

`a` = 1.5 ft

Placing values in the formula

Area = 6 x
`1.5^(2)` = 13.5
`ft^(2)`

Now calculate the volume of the foam

Volume =
`a^(3)`

Where

`a` = 1.5 ft

Placing values in the formula

Volume =
`1.5^(3)` = 3.375
`ft^3`

Now find the cost per cube feet

`\sqrt{1 ft^(2) }` =
`√(40)`

1
`ft` = 6.32455532

Now Take the cube of both sides

1
`ft^3` =
`6.32455532^(3)`

1
`ft^3` = 252.9822128

Now find the total cost as follow

Total Cost = Foam cost + Cover cost

Whee

Foam Cost = Volume x Cost rate = 3.375
`ft^3` x 252.9822128 per
`ft^(3)` = 853.81

Cover Cost = Area x Cost rate = 13.5
`ft^(2)` x 20 per
`ft^(2)` = 270

Placing values in the formula

Total Cost = 853.81 + 270 = 1,123.81 = 1,124 ( Rounded to whole number )