Question

Jack wants to fill a rectangular box with sand. The length of the sand box is 3 feet, width is 6 inches, and height is 2.4 inches. Each bag of sand contains 0.15 cubic foot of sand. How many bags of sand will Jack need to fill the box completely?

[1 foot = 12 inches]

Numerical Answers Expected!

Answer 1

Jack would need to buy 2 bags of sand.
To find the answer you first have to find the volume of the rectangular box which can be found using the formula length times width times height (remember that the numbers have to have the same unit so it would look like 3 times .5 times .2 if you convert them all the feet). the volume of the box is equal to .3
Then you could set the volume of the box equal to .15x to find how many boxes he would need. The formula would be .15x=.3
Divide by .15 to get x alone and you get 2 for the answer.

Answer 2

The number of bags of sand that Jack need to fill the box completely are:

2

Explanation:

The length(l) of the sand box is 3 feet, width(w) is 6 inches, and height(h) is 2.4 inches.

Also,

1 foot=12 inches

This means that:

1 inch=1/12 foot

i.e.

6 inches=0.5 feet

i.e.

w=0.5 feet

and

h=2.4 inches

i.e. h=0.2 feet

Now, we find the volume of the rectangular box.

The volume of the rectangular box is given by:

Volume=lwh

Hence,

Volume=3×0.5×0.2

i.e.

Volume=0.3 cubic feet.

Also, the volume of one bag of sand= 0.15 cubic feet

This means that the number of bags of sand that will fill the box completely is:

(Volume of rectangular box) / (Volume of one bag of sand)

= 0.3/0.15

=2

Hence, number of bags =2