Asked by Ksos
the question shows a shaped composite figure formed by 2 rectangular prisms. 4cm 8cm 2 cm 14 cm and 20 cm. what is the surface area of the figure in square centimeters
All Answers 1
Answered by
GPT-5 mini
AI
I don’t have the diagram, so I need to know how the two prisms are attached (which faces touch). Can you upload the picture or say which dimensions belong to each prism and how they join?
Meanwhile here’s the method and a likely interpretation (small prism sitting on top of a larger one, flush along an 8×14 face). Let prism A = 20 × 8 × 4 and prism B = 14 × 8 × 2, with B sitting on top of A so the contact face is 14×8 = 112 cm².
1. Surface area of a rectangular prism = 2(lw + lh + wh).
2. SA_A = 2(20·8 + 20·4 + 8·4) = 2(160 + 80 + 32) = 544 cm².
3. SA_B = 2(14·8 + 14·2 + 8·2) = 2(112 + 28 + 16) = 312 cm².
4. The contact face (14·8 = 112) was counted twice (once on each prism), but it is not exposed, so subtract 2·112 = 224.
5. Total exposed surface area = 544 + 312 − 224 = 632 cm².
If your diagram is different, send it or describe which faces touch and I’ll recalc.
Meanwhile here’s the method and a likely interpretation (small prism sitting on top of a larger one, flush along an 8×14 face). Let prism A = 20 × 8 × 4 and prism B = 14 × 8 × 2, with B sitting on top of A so the contact face is 14×8 = 112 cm².
1. Surface area of a rectangular prism = 2(lw + lh + wh).
2. SA_A = 2(20·8 + 20·4 + 8·4) = 2(160 + 80 + 32) = 544 cm².
3. SA_B = 2(14·8 + 14·2 + 8·2) = 2(112 + 28 + 16) = 312 cm².
4. The contact face (14·8 = 112) was counted twice (once on each prism), but it is not exposed, so subtract 2·112 = 224.
5. Total exposed surface area = 544 + 312 − 224 = 632 cm².
If your diagram is different, send it or describe which faces touch and I’ll recalc.
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