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Answer :
1 gallon contains 231 cubic inches. A rectangular container has dimensions of 32 in. by 16 in. by 28 in. A comparable container is one-quarter the size. Larger container holds 61.1 more gallons.
To solve this question, we have to find the volume of both the containers. First, we will find the volume of the container whose sides are 32 in. by 16 in. by 28 in.
Volume = multiplication of sides
= 32 × 16 × 28 in
= 14,336 inches cube
Now, we will find the sides of the smaller container which is scale factor of 1/4
Side 1 of small container = 1/4 × 32 = 8 in
Side 2 of small container = 1/4 × 16 = 4 in
Side 3 of small container = 1/4 × 28 = 7 in
Volume of container which is small = 8 × 4 × 7 = 224 cu in
Now, we will calculate the difference of volume to find the difference in capacity of containers.
Larger container holds more = 14,336 cu in - 224 cu in
= 14,112 cu in
Now, we will convert it into galloons.
231 cu in = 1 galloon
14,112 cu in = 14,112 / 231 galloons
= 61.1 galloons
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