Answer:
272cm
Step-by-step explanation:
So the green block has 6 sides
the height of the prism is 4cm
the length is 10cm
and the width is 5cm
to find the top and bottom sides we must find the width and length
5x10=50cm so The bottom and top are double that so 100cm is covered so far
to find the longer sides, we times 4 by 10 = 40x2 = 80cm which covers 2 sides
and the last 2 sides of the green block are the smaller ones so 4x5 = 20 but that covers one side so we times by 2 andd that gives us both sides so 40cm
all 6 sides are covered so we can add up the numbers
top and bottom = 100cm
front back = 80cm
left and right = 40
add them all up and we get 220
now we see the purple block, this is the Same process as before
top = 2x2 = 4
bottom = 2x2 = 4
front = 6x2 = 12
back = 6x2 = 12
left = 6x2 = 12
right = 6x2 = 12
add them together and we get 56cm
the surface area of both of them Is 220+56 = 276cm
however the bottom of the purple prism is on top of the top of the green prism. Because we know the surface area of the bottom of the purple (4) and the top Surface of the green (50).
this allows us to subtract the prism above because of the bottom shapes surface so the actual answer is 272cm hope this helped
