Question

Carla made a solid wooden block as shown in the diagram below. She will paint all surfaces of the block.

Answer 1

What will be the total painted surface area of the block?

Answer 2

@jim_thompson5910

Answer 3

im guessing homeschool lol

Answer 4

yep:p

Answer 5

The front face is a rectangle. The length is 12 and the width is 3. So what is the area of this rectangle?

Answer 6

This is a lot like the parallelogram formula

Answer 7

36

Answer 8

Any ideas?

Answer 9

good

Answer 10

300 cm2

216 cm2

288 cm2

336 cm2

These are possible anwsers

Answer 11

The left face is a trapezoid, so we now move onto the formula

A = h(b1 + b2)/2

Answer 12

The two bases of the left face are 10 and 6, so b1 = 10 and b2 = 6

The height is 3, so h = 3

Therefore, the area is...

A = h(b1 + b2)/2

A = 3*(10+6)/2

Tell me what you get here

Answer 13

24

Answer 14

So the left face is 24 square cm

Answer 15

The right face is equal to this because of symmetry

Answer 16

So we have the front face, the left face and the right face so far...what about the bottom face?

Answer 17

:O idk

Answer 18

The length of that rectangle (on the bottom face) is 12 and the width is 10, so the area is...???

Answer 19

120 but thats not one of the choices :/

Answer 20

that's just a piece of it, one sec

Answer 21

So we just need to find the area of the top face and the back face

Answer 22

The top face is a rectangle that is 12 by 6 cm, so the area of that face is 12*6 = 72 square cm

Answer 23

The back face is a rectangle with length 12 and width 5, so that area is 12*5 = 60 square cm


So we have the following areas


Front: 36

Left: 24

Right: 24

Bottom: 120

Top: 72

Back: 60


Add up all these areas to get the total surface area

Answer 24

:D yay 336

Answer 25

you got it