Question

a carton that has a length of 1 2/3 feet width of 1 2/5 ft and height of 1 1/2 feet what is the volume of the carton

Answer 1

The carton consists of a rectangular prism, and its volume is given by the formula:

$V=L\cdot W\cdot H$

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

Using L = 1 2/3 = 1.666 ft, W = 1 2/5 = 1.4 ft and H = 1 1/2 = 1.5 ft, we have that:

$\begin{gathered} V=1.666\cdot1.4\cdot1.5 \\ V=3.5 \end{gathered}$

So the volume of the carton is 3.5 ft^3

You can also use the numbers in their fraction form:

L = 1 2/3 = 5/3

W = 1 2/5 = 7/5

H = 1 1/2 = 3/2

$V=\frac{5}{3}\cdot\frac{7}{5}\cdot\frac{3}{2}=\frac{7}{2}=3.5$