Question

2. The diagram shows some steps. Find the volume in cm^3 and surface area in cm^2.

Answer 1

Step-by-step explanation:

Volume= [(20+20) x (20+20) x 100] - (20 x 20 x 100)

=120000cm^3

surface area= 2 x 40 x 100 + 2 x (40 x 40 - 20 x 20) + 4 x 20 x 100

=18400cm^2

Answer 2

Volume:

There are a total of 3 "blocks". Each block:

lwh=20cm*20cm*1m=20*20*100=4000cm³ per block

so 3 blocks = 4000cm³*3=12000cm³

Surface Area:

There are 4 |__| faces. Each = 20cm*1m = 20cm*100cm = 2000cm²

2000cm²*4=8000cm² for part 1

There are 2 L faces. Each L face is (20+20)*20=800cm²

so 2 L faces = 1600cm²

There is the back and the bottom are equal. Each is 100*(20+20)=4000cm²

Total Surface Area: 2000+800+4000 (cm²) = 6800cm²