A storage container is in the shape of a rectangular prism, with a length of 3 1 5 feet, and width of 1 3 4 feet, and a height of 2 1 4 feet. What is the container's volume?

Respuesta :

Answer:

[tex]12\dfrac{3}{5}[/tex] cubic feet.

Step-by-step explanation:

Given information:

[tex]\text{Length of container}=3\dfrac{1}{5}=\dfrac{15+1}{5}=\dfrac{16}{5}[/tex]

[tex]\text{width of container}=1\dfrac{3}{4}=\dfrac{4+3}{4}=\dfrac{7}{4}[/tex]

[tex]\text{height of container}=2\dfrac{1}{4}=\dfrac{8+1}{4}=\dfrac{9}{4}[/tex]

Volume of a cuboid is

[tex]V=length\times width \times height[/tex]

[tex]V=\dfrac{16}{5}\times \dfrac{7}{4}\times \dfrac{9}{4}[/tex]

[tex]V=\dfrac{63}{5}[/tex]

[tex]V=12\dfrac{3}{5}[/tex]

Therefore, the volume of container is [tex]12\dfrac{3}{5}[/tex] cubic feet.