Question

It is time to get the fish food ready for the marine life rescue missions. Over the last
month, Penny's class has collected fish food in a variety of boxes. In order to ship the
food, you are going to help Penny and her classmates. They are going to pack the small
cubes of fish food into shipping boxes that are large right rectangular prisms.
Shipping Box
Fish Food
3 ft
Instructions:
Part 1: Find the number of fish food cubes it takes to fill the large shipping box.
1
Step 1: Determine how many fish food cubes with edges of 4 foot can be
packed along each side of the shipping box
Length:
Width:
Height:

Answer 1

The volume of a box is the amount of space in the box

The number of fish food cubes that can fill the large shipping box is 2340

The dimension of the fish food cube is:

$\mathbf{Length = Width = Height = \frac 14 ft}$

The dimension of the large shipping box is:

$\mathbf{Length = 3ft}$

$\mathbf{Width = 3\frac 34 ft}$

$\mathbf{Height = 3\frac 14 ft}$

Divide the dimensions of the large shipping box with the corresponding dimensions of the fish food cube.

So, we have:

$\mathbf{Length = \frac{3ft}{1/4ft} = 12}$

$\mathbf{Width = \frac{3\ 3/4ft}{1/4ft} = 15}$

$\mathbf{Height = \frac{3\ 1/4ft}{1/4ft} = 13}$

So, the number of fish (n) is:

$\mathbf{n = Length \times Width \times Height}$

This gives:

$\mathbf{n = 12 \times 15 \times 13}$

$\mathbf{n = 2340}$

Hence, the number of fish food cubes that can fill the large shipping box is 2340

See attachment for the boxes

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