Respuesta :
Answer:
Total volume required = 74.074 cyd
The cost of concrete = $7407.4
Explanation:
Given:
Volume of each truck = 10 cyd
Dimension of matt foundation = 20ft × 120 ft × 10 in
now,
1 in = [tex]\frac{\textup{1}}{\textup{12}}[/tex] feet
thus,
10 in = [tex]\frac{\textup{10}}{\textup{12}}[/tex] feet
Therefore,
the total volume of concrete required = [tex]20\times120\times\frac{\textup{10}}{\textup{12}}[/tex] 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 = [tex]\frac{\textup{Total volume of concrete required}}{\textup{Volume of each truck}}[/tex]
or
the number of trucks required = [tex]\frac{\textup{74.074}}{\textup{10}}[/tex]
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
