Find the surface area of the prism round to the nearest tenth choose the correct units

Question

asked Jul 25, 2023 164k views

1 Answer

Jonas Lomholdt · Answer 1 · 2023-07-29T13:57:16+0000

216.2 ft²

1) The surface area is found by the sum of two times the Base Area and the Side Area.

2) Examining that picture, we can write it out:

2 rectangles: 6.4 x 12

$S\text{ =w}\cdot l\text{ }\Rightarrow2\text{ (w}\cdot l)\Rightarrow\text{ 2(6.4}*12)=153.6ft^2$

2 rectangles: 1.7 x 6.4

$S=2(w* l)\Rightarrow S=2(1.7*6.4)=21.76ft^2$

2 rectangles: 1.7 x 12

$S=2(w\cdot l)\Rightarrow S=2(1.7*12)\Rightarrow S=40.8ft^2$

3) Hence, the total surface area is the sum of those:

S = 153.6 +21.76+40.8

S =216.2 ft² (rounding off to the nearest tenth)