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A company makes two sizes of boxes shaped like rectangular prisms. The large box is 16 inches tall, 10 inches wide, and 10 inches
long.
The drawing shows the dimensions of the small box.
4 in
2 in
2 in
Part A
What is the maximum number of small boxes that can fit inside the large box?
Part B
The company plans to increase the width and length of the large box by 4 inches each to create a new larger box. How
many more of the small boxes will be able to fit inside this new larger box compared to the original large box?



Answer :

Dimension of a large box;

Length(l) = 10 inches ; breadth(b) = 10 inches ; height(h) = 16 inches

Dimensions of the smaller box;

Length = 4 inches ; breadth = 2 inches ; height = 2 inches

The volume of a large box = l × b × h = 10 × 10 × 16 cubic inches = 1600 cubic inches

The volume of a small box = l × b × h = 4 × 2 × 2 cubic inches = 16 cubic inches

A) Maximum number of small boxes that can fit inside the large box = volume of large box/ volume of a small box

= 1600/16

= 100 small boxes can fit.

B) Increased width = 10 + 4 = 14 inches

Increased length = 10 + 4 = 14 inches

Number of small boxes that can fit = volume of large box/ volume of a small box

= 14 × 14 × 16/ 4 × 2 × 2

= 196 boxes.

What is a volume?

  • A volume is a capacity that occupies space in three-dimension.
  • The unit of volume is in cubic like m³, cm³, etc.
  • Cubic meters is the SI unit of volume.

To learn more about volume, visit: https://brainly.com/question/1578538?referrer=searchResults

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