Question

PLEASE HELP. BRAINLEST ANSWER TO BEST ANSWER.PLEASE SHOW ALL WORK.

Answer 1

To find the surface area of this figure, we simply need to take the areas of each of the faces of the figure and add them together.

(To save time, I will only show full work for one face, since the process is the same for all of them and there are quite a few =P )

Very top face: $3mm * 3 mm = 9mm^2$

Corner side face: $9mm^2$

Corner top face: $10mm - 3mm = 7mm$
                           $7mm * 3mm = 21mm^2$
                           ( ^ subtract the distance from the side of the whole
                           figure to where the top face of the base figure appears)

Far right face: $9mm^2$

Front bottom face: $30mm^2$

Front top face: $9mm^2$

Back bottom face: $30mm^2$

Back top face: $9mm^2$

Far left face: $18mm^2$

Very bottom face: $30mm^2$

Now, we just add all these up.

$30+30+30+21+18+9+9+9+9+9=174mm^2$

The surface area of the figure is 174 millimeters squared.

Now onto the volume...

This is easier. There are obviously two separate rectangular prisms here which are attached together.

To find volume of a rectangular prism, you just need to multiply length times width times height. We'll do that for both of them, and then add them together.

$3mm * 3mm * 3mm = 27mm^3$
$10mm * 3mm * 3mm = 90mm^3$

$27mm^3 + 90mm^3 = 117mm^3$

The figure has a volume of 117 millimeters squared.

Hope that helped! =)

Answer 2

Surfae area
we have 5 faces for the top shape
6 faces for the bottom
find areas of both

top=3*3+3*3+3*3+3*3=45
bottom one=3*10+3*3+3*3+3*10+3*10+3*(10-3)=129
add
45+129=174 mm^2
answer is B



volue
top shape is 3*3*3=27 mm^3
bottom is 10*3*3=90
add
27+90=117 mm^3
answer is C



6. 174 m^2 B
7. 117 mm^2 C