Question

CATNUMATICAL Reason Quantitatively Rachel, Timothy, and Robyn each make

the rectangular prism shown. If they stand all of their prisms together, side by
side, to make one large rectangular prism, what is the volume of the new prism?
How did the dimensions change?

HELP!!!!!!!​

Answer 1

See explanation

Explanation:

The question is incomplete, as the dimension of each prism is not given.

So, I will give a general explanation.

From the question, we understand each prism.

So, to get the new volume; we simply add up the volume of each prism.

For instance (we want to make assumptions)

Rachel

`Length = 4; Width = 3; Height = 4`

Timothy

`Length = 6; Width = 3; Height = 4`

Robyn

`Length = 4; Width = 8; Height = 3`

So, we have:

`Volume = Length * Width * Height`

For each, we have:

`Rachel =4* 3* 4 =48`

`Timothy= 6* 3* 4 = 72`

`Robyn = 4* 8* 3 = 96`

The volume of the new

`Volume = 48 + 72 + 96`

`Volume = 216`

The dimension of new prism.

Using the assumed values, we have:

`Length = 4; Width = 3; Height = 4`

`Length = 6; Width = 3; Height = 4`

`Length = 4; Width = 8; Height = 3`

Now, we consider the measure of the sides

Sides with the same length will form a new side.

Side 1

`Length =4` --- Rachel

`Height = 4` ---- Timothy

`Length = 4` --- Robyn

The above lengths have the same measure. So, one of the sides of the new prism will assume the value of this length.

So:

`Length = 4` -- for the new prism

Side 2

`Width =3`

`Width = 3`

`Height = 3`

The above lengths have the same measure. So, one of the sides of the new prism will assume the value of this length.

So:

`Width = 3` -- for the new prism

Side 2

`Height = 4`

`Length = 6`

`Width =8`

For this, we simply add up each length.

So, we have:

`Height = 4 + 6 + 8`

`Height = 18` --- for the new prism

So, the new dimension is:

`Length = 4`

`Length = 6`

`Height = 18`

`Volume = 4 * 3 * 18`

`Volume = 216`