Question

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Sam stores manure for his farm in a rectangular box. The length of the box is 7 feet, width is 9 inches, and height is 6 inches. Each bag of manure he bought contains 2.625 cubic feet of manure. How many bags of manure will fill the box completely?

Answer 1

volume = 7 × 9 × 6
= 378 inches

box = 378 ÷ 2.625
= 144

i am a mathematics teacher. if anything to ask please pm me

Answer 2

The answer is 1 bag.

First, watch out, the units are different! Next, let's first calculate a volume of a box.
The volume (V) of the rectangular box is:
V = l × w × h
(l - length, w - width, h - height)

It is given:
l = 7 feet = 84 inches
w = 9 inches
h = 6 inches

Therefore,
V = 84 · 9 · 6 = 4.536 in³

We know that each bag of manure contains 2.625 cubic feet of manure.
2.625 ft³ = 4536 in³

Now, make a proportion:
If 1 bag contains 4536 cubic inches of manure, how many bags will fill the box of 4536 cubic inches:
1 : 4536 = x : 4536
⇒ x = 4536 * 1 / 4536 = 1

Therefore, only 1 bag of manure will fill the box completely.