Question

keisha fills a box with bird seed all the way to the top. the volume of the bird seed is exactly 1,200 in.³. what could be the shape of the box?

Explanation:

Step1: Calculate the volume of the first box (cube)

The volume formula for a cube is \(V = s^3\), where \(s = 10\) in.
\(V=10\times10\times10 = 1000\) in.\(^3\)

Step2: Calculate the volume of the second box (rectangular prism)

The volume formula for a rectangular prism is \(V=l\times w\times h\), where \(l = 10\) in, \(w = 10\) in, \(h = 4\) in.
\(V=10\times10\times4=400\) in.\(^3\)

Step3: Calculate the volume of the third box (rectangular prism)

Using the formula \(V=l\times w\times h\), with \(l = 10\) in, \(w = 10\) in, \(h = 8\) in.
\(V=10\times10\times8 = 800\) in.\(^3\)

Step4: Calculate the volume of the fourth box (rectangular prism)

Using the formula \(V=l\times w\times h\), with \(l = 10\) in, \(w = 10\) in, \(h = 12\) in.
\(V=10\times10\times12=1200\) in.\(^3\)

Answer:

The box with dimensions \(10\) in \(\times10\) in \(\times12\) in.