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A building contractor is to dig a foundation 54 feet​ long, 12 feet​ wide, and 6 feet deep. The contractor pays ​$25 per load for trucks to remove the dirt. Each truck holds 9 cubic yards. What is the cost to the contractor to have all the dirt hauled​ away?

(17 points for you ^-^)

Respuesta :

Firstly you need to convert the feet to yards:
54 = 18
12 = 4
6 = 2.
How times them all together:
18 x 4 x 2 = 144
Next divide 144 / 9 = 16
Now times 16 by the price:
16 * 25 = 400
$400 dollars will have to be paid.

Hope this helps.

Total $400 cost to the contractor to have all the dirt hauled away.

What is unit conversion?

Conversion of units means the conversion between different units and measurements of the same quantity done by the process of multiplication or division

What is volume?

'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.

According to the given question.

The length of the foundation = 54 feet

The width of the foundation = 12 feet

The height of the foundation = 6 feet

Since,

1 yard = 3 feet

⇒ 1 feet = 1/3 yards

So,

54 feet = [tex]54 \times \frac{1}{3}[/tex] = 18 yards

12 feet = [tex]12 \times \frac{1}{3}[/tex] = 4 yards

6 feet = [tex]6 \times \frac{1}{3} =[/tex] 2 yards

Now,

The volume of the foundation = 18 × 4 × 2 = 144 cubic yards

It is given that each truck can hold only 9 cubic yards and for one truck the contractor have to pay $25.

Therefore,

The number of trucks required for 144 cubic yards = [tex]\frac{144}{9}[/tex] = 16 yards

And,

The amount of money the contractor have to pay for 9 trucks

= 16 × $ 25

= $400

Hence, total $400 cost to the contractor to have all the dirt hauled away.

Find out more information about volume and unit conversion here:

https://brainly.com/question/13259295

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