Question

Esther needs a bin for her hair bows. A yellow bin has a length of 11.4 inches, a width of 4.2 inches, and a height of LaTeX: \frac{8}{3}8 3 inches. A red bin has a length of 9 inches, a width of 5.45 inches and a height of LaTeX: \frac{11}{5}11 5 inches. What is the volume of the bin with the greatest volume? Explain your answer.

Answer 1

Yellow Bin

Explanation:

Yellow Bin

Length = 11.4 inches,

Width = 4.2 inches,

Height =
`(8)/(3)`

Volume of the yellow bin=LWH
`=11.4 X 4.2 X (8)/(3)=127.68 \:cubic \:inches`

Red Bin

Length = 9 inches,

Width = 5.45 inches,

Height =
`(11)/(5)`

Volume of the red bin=LWH
`=9X 5.45 X (11)/(5)=107.91 \:cubic \:inches`

The yellow bin has a greater volume since 127.68 is greater than 107.91.