Question

Jess has a storage bin that is 3 ft. High, 4 ft. Long, and 2 ft. Wide. If each box is one cubic foot in volume, how many will fit into the storage bin?

Answer 1

24 boxes

Explanation:

First we need to calculate the volume of the storage bin.

This volume can be calculated multiplying all the 3 dimensions of the storage bin:

V = H * L * W

Where V is the volume, H is the height, L is the length and W is the width of the storage bin.

So, its volume is:

V = 3 * 4 * 2 = 24 ft3

If each box has 1 ft3 in volume, we divide the volume of the storage bin by the volume of the box to find how many box will fit in the bin:

number of boxes = 24 / 1 = 24 boxes

Answer 2

The number of boxes that will fit into the storage bin is 24 boxes

Explanation:

Here we have the the dimensions of the bin given as

Height of bin = 3 ft

Length of bin = 4 ft

Width of bin = 2 ft

Volume of bin is given by

Volume of bin = Length of bin × Width of bin × Height of bin

The size of the box is also given as 1 ft³

Therefore since the volume of the bin = 3 ft × 2 ft × 4 ft =24 ft³

There is enough room for;

`\frac{24 \hspace{0.09cm}ft^3}{1 \hspace{0.09cm} ft^3} = 24 \hspace{0.09cm}Boxes`

The number of boxes that will fit into the storage bin is therefore, 24.