What is the surface area of the figure? 291 ft² 399 ft² 582 ft² 900 ft² Irregular backwards L-shaped prism. The dimensions are 1

Question

4 years ago

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What is the surface area of the figure? 291 ft² 399 ft² 582 ft² 900 ft² Irregular backwards L-shaped prism. The dimensions are 1

5 ft long in the front. Then on the left side goes up 9 ft. Then in to the right 9 ft. From the 15 ft in the front it goes back 4 ft. Then up 15 ft...

Mathematics

2 answers:

Anna71 [15] · Answer 1 · 2022-01-05T08:18:33+03:00

Anna71 [15]4 years ago

7 0

Answer:

582 ft^

Step-by-step explanation:

Romashka-Z-Leto [24] · Answer 2 · 2022-01-05T05:48:35+03:00

Answer:

Surface area of the figure is 582 square feet.

Step-by-step explanation:

The given figure is of an irregular backwards L-shaped prism which can be divided in two parts to measure the surface are of cumulative figure as shown. First figure is a horizontal larger prism then a smaller prism put on the larger one.

1) First figure is the larger prism with dimensions length× width×height = 15×4×9

Therefore the surface area of the larger prism will be = 2(15×9 + 4×9 + 15×4) - (4×6) = 2(135+36+60) - 24 = 2×231 - 24 = 462 - 24 = 438 ft²

2) Surface area of the smaller prism = 2(6×6 + 4×6 + 4×6) - 6×4 = 2(36+24+24) - 24 = 168 -24 = 144 ft²

Now total surface area will be = 438 + 144 = 582 ft²