Question

What is the volume of the prism

Answer 1

From the graph , we have to find the length, width and height of the prism to calculate volume .

And for that we have to use distance formula.

`Length= √((4-4)^2 +(6-0)^2 + (0-0)^2 ) = √(36) =6 \\ Width = √((4-0)^2+(6-6)^2+(0-0)^2) = √(16)=4 \\height = √((4-4)^2 +(6-6)^2 +(2-0)^2 ) = √(4) =2`

And the formula of volume is

`Volume = length * width * height = 6*4*2=48 \ cubic \ units`