Question

1. volume

find the area and volume of both prisms.

Explanation:

Step1: Determine the dimensions

From the figure, we can see that the length \( l = 6 \), width \( w = 4 \), and height \( h = 2 \) (assuming each small cube has side length 1).

Step2: Calculate the surface area

The formula for the surface area \( SA \) of a rectangular prism is \( SA = 2(lw + lh + wh) \).
Substitute \( l = 6 \), \( w = 4 \), \( h = 2 \):
\[

$$\begin{align*} SA&= 2((6\times4)+(6\times2)+(4\times2))\\ &= 2(24 + 12 + 8)\\ &= 2\times44\\ &= 88 \end{align*}$$

\]

Step3: Calculate the volume

The formula for the volume \( V \) of a rectangular prism is \( V = l\times w\times h \).
Substitute \( l = 6 \), \( w = 4 \), \( h = 2 \):
\[
V = 6\times4\times2 = 48
\]

Answer:

Surface Area: \( 88 \) (unit\(^2\)), Volume: \( 48 \) (unit\(^3\))

(Note: Since the problem mentions "both prisms" but only one is shown, if there is another prism, we would need its dimensions. For the given prism, the surface area is 88 and volume is 48 assuming unit cubes.)