Question

HELP? The two models shown have the same volume. Complete the equation and expression below about the volume of each figure.

Answer 1

36+12=48

48-16=32

ive completed that lesson

Answer 2

Answer : The volume blue prism in Model 1 is,
`32in^3`

Step-by-step explanation :

As we are given that:

Volume of Model 1 = Volume of Model 2

Given:

Volume of blue prism in Model 2 =
`36in^3`

Volume of orange prism in Model 2 =
`12in^3`

Volume of orange prism in Model 1 =
`16in^3`

Now we have to calculate the total volume of Model 2.

Total volume of Model 2 =
`36in^3+12in^3` =
`48in^3`

Now we have to calculate the volume blue prism in Model 1.

Volume of Model 1 = Volume of Model 2

Volume of orange prism in Model 1 + Volume blue prism in Model 1 = Total volume of Model 2

`16in^3` + Volume blue prism in Model 1 =
`48in^3`

Volume blue prism in Model 1 =
`48in^3-16in^3`

Volume blue prism in Model 1 =
`32in^3`

Thus, the volume blue prism in Model 1 is,
`32in^3`