Work out the surface area of this solid prism

Mathematics

1 answer:

zalisa [80]3 years ago

8 0

Answer:

3220 cm²

Step-by-step explanation:

Lets find the area of the two triangles

I am making a modification:

Both of the triangles are the same, so I wont divide by 2 using the area of triangle formula 1/2(b * h) because we end up multiply by 2

Area of triangles = 15 cm x 28 cm = 420 cm²

Area of front facing parallelogram = 24 cm x 4(10)cm = 100(10)cm = 1000 cm²

Area of back facing parallelogram = 17 cm x 40 cm = 680 cm²

Area of bottom parallelogram = 40 cm x 28 cm = 1120 cm²

Total Surface area = 420 cm² + 1000 cm² + 680 cm² + 1120 cm² = 1100 cm² + 2120 cm² = 3220 cm²

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