Question

Artie made a solid wooden block as shown in the diagram below. He will paint all surfaces of the block.
http://go.flvs.net/courses/1/flvs_57_3641_12676/ppg/respondus/pool_Geom_3641_0709_15/image0024e612d9b.jpg
What will be the total painted surface area of the block?
Answer

324 cm2

380 cm2

404 cm2

440 cm2

Answer 1

@UnkleRhaukus could you help me with the equation on this one also please?

Answer 2

three different rectangles +two identical trapeziums

Answer 3

*4four rectangles

Answer 4

ok ive started the equation but idk this is what i have so far for the 3 rectangles
2( 10x12) + 2 ( 12x4) + 2 (7x12)

Answer 5

almost
the four rectangles are\[1\times( 10\times12) + 1\times( 12\times4) + 1\times(7\times12) +1\times(5\times 12)\]
each rectangle is different

Answer 6

ok so thats my equation for the rectangles but then i have to take into concideration the

Answer 7

Trapeziums
do you know the formula for a trapezium?

Answer 8

trapeziums which i had down as 2( 5x 10x 7 x 4) but i dont think thats right

Answer 9

no i don't think i do aha

Answer 10

\[A=\frac {a+b}2\times h\]
where 7 and 10 are a and b ,


4 is the height h

Answer 11

ok so 48 then? and i add 48 to the equation from my rectangles?

Answer 12

remember to add it twice because there are two identical trapeziums

Answer 13

SA=(10×12)+(12×4)+(7×12)+(5×12)+2x(48)

Answer 14

i got 408

Answer 15

but thats not an answer...

Answer 16

Well, its not 404 cm2
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