9514 1404 393
Answer:
- 320 units²
- 190 units²
- 318 units²
- 43.8 units²
Step-by-step explanation:
The area formula for a rectangular prism is ...
A = 2(LW +H(L+W))
For (L, W, H) = (8, 8, 6) ...
A = 2(8·8 +6(8+8)) = 2(64 +96) = 320 . . . square units
For (L, W, H), = (2, 9, 7) ...
A = 2(2·9 +7(2 +9)) = 2(18 +77) = 190 . . . square units
For (L, W, H) = (6, 7, 9) ...
A = 2(6·7 +9(6 +7)) = 2(42 +117) = 318 . . . square units
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The area of the triangular prism is the sum of its triangular base areas and the lateral area. The lateral area is the product of the base perimeter and the length of the prism.
A = 2(1/2)bh +PL
= 3(2.6) +(3+3+3)·4
= 7.8 +9·4 = 43.8 . . . square units
