Question

CATNUMATICAL Reason Quantitatively Rachel, Timothy, and Robyn each make

Answer 1

Answer:

See explanation

Step-by-step 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:

$Length = 4$

$Length = 6$

$Height = 18$

$Volume = 4 * 3 * 18$

$Volume = 216$