Question

I need help! Does anyone know how to solve this?

Answer 1

Assuming each cube's area is 1 square unit, you can find the surface area by using the equation A=6$a^{2}$ for a cube. There are 10 cubes in total from the picture (4 width*2 height+2). In order to solve, you would add the areas of each side of all cubes together and subtract the area of any shared sides since this is a composite figure. The combined area of all faces of the prism is 60 units, which is then subtracted by 12 shared faces. The result would be 48 units$^{2}$

The volume of a cube is calculated using the equation V=$a^{3}$. $1^{3}$ is simply 1 unit $^{3}$. To find the volume of all of the prism, you would add the volumes of all cubes present, of which there are 10. So, the volume of the prism is 10 units$^{3}$.

Answer 2

Surface area is 34 units2 or sq.
the volume is 10 units3 or cubed.
volume is the amount of cubes on the inside, and the surface area is each surface added together