Question

As a construction supervisor you must order concrete to fill a mold for a pillar. The volume of the mold is 186 cubic feet concrete is sold by the cubic yards. How many cubic yard of concrete will you need to order to fill the mold

Answer 1

The volume of the cubic yard of concrete will you need to order to fill the mold is:

6.889 cubic yard

Explanation:

It is given that:

The volume of the mold is 186 cubic feet concrete.

Now, it is sold by the cubic yards.

i.e. we have to convert this volume into cubic yards.

We know the conversion that:

`1\ \text{feet}=(1)/(3)\ \text{yard}`

Hence,

`1\ \text{cubic feet}=(1)/(3)* (1)/(3)* (1)/(3) \text{cubic yard}`

i.e.

`1\ \text{cubic feet}=(1)/(27)\ \text{cubic yard}`

Hence,

`186\ \text{cubic feet}=(186)/(27)\ \text{cubic yard}`

`186\ \text{cubic feet}=6.889\ \text{cubic yard}`

Answer 2

62 cubic yards

Explanation:

This is conversion from feet to yards.

Step 1: Write the ratio of yards to feet.

Yard : Feet

1 : 3

Step 2: Find out the volume of mould

1 : 3

x : 186

Cross multiply

3x = 186

x = 62 yards

Therefore, 62 cubic yards of concrete is needed in order to fill the mould.

!!