Question

How many concrete trucks (10 cyd each) needed to pour a matt foundation of the following dimensions: (20ft x 120 ft x 10 in.)? How much will be the total cost if the cost of the cubic yard is $100?

Answer 1

Total volume required = 74.074 cyd

The cost of concrete = $7407.4

Step-by-step explanation:

Given:

Volume of each truck = 10 cyd

Dimension of matt foundation = 20ft × 120 ft × 10 in

now,

1 in =
`\frac{\textup{1}}{\textup{12}}` feet

thus,

10 in =
`\frac{\textup{10}}{\textup{12}}` feet

Therefore,

the total volume of concrete required =
`20*120*\frac{\textup{10}}{\textup{12}}` feet³

or

Total volume required = 2000 ft³

now,

1 ft³ = 0.037037 cyd

thus,

2000 ft³ = 2000 × 0.037037 cyd = 74.074 cyd

Therefore,

the number of trucks required =
`\frac{\textup{Total volume of concrete required}}{\textup{Volume of each truck}}`

or

the number of trucks required =
`\frac{\textup{74.074}}{\textup{10}}`

or

the number of trucks required = 7.4074 ≈ 8 trucks

And,

The cost of concrete = Total volume of concrete in cyd × cost per cyd

or

The cost of concrete = 74.074 × $100 = $7407.4