Question

the solid below is made from 1 - meter cubes. find its surface area. your answer

Explanation:

Step1: Determine the dimensions

The solid is a rectangular - prism - like shape. By counting the 1 - meter cubes, we can see the length $l = 4$ m, the width $w=3$ m, and the height $h = 2$ m.

Step2: Recall the surface - area formula

The surface - area formula for a rectangular prism is $SA = 2(lw+lh + wh)$.

Step3: Substitute the values

Substitute $l = 4$, $w = 3$, and $h = 2$ into the formula:
\[

$$\begin{align*} SA&=2(4\times3 + 4\times2+3\times2)\\ &=2(12 + 8+6)\\ &=2\times26\\ & = 52 \end{align*}$$

\]

Answer:

52