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Please answer both if possible

Please answer both if possible-example-1
Please answer both if possible-example-1
Please answer both if possible-example-2

2 Answers

11 votes
576m^2
300yd^2
Hope this helps
User Tuler
by
6.8k points
3 votes

Answer:

2. Surface Area = 576m^2

3. Surface Area = 300 yd^2

Explanation:

2.

Surface Area of Prism Formula:

Triangle Formula: Area = 1/2 * Base * Height

Left Triangle: Area = 1/2 * 8m * 6m = 1/2 * 48 = 24 m^2

Right Triangle: Area = 24m^2

Rectangle Formula: Area = Length * Width

Top Rectangle: Area = 22m * 6m = 132m^2

Middle Rectangle: Area = 22m * 8m = 176m^2

Bottom Rectangle: Area = 22m * 10m = 220m^2

Add Total Surface Area:

Surface Area = LTrig + RTrig + TopRect + MidRect + BotRect

Surface Area = 24 + 24 + 132 + 176 + 220

Surface Area = 576 m^2

3.

Surface Area of Prism Formula:

Triangle Formula: Area = 1/2 * Base * Height

Left Triangle: Area = 1/2 * 9yd * 4yd = 1/2 * 36 = 18 yd^2

Right Triangle: Area = 18 ydm^2

Rectangle Formula: Area = Length * Width

Top Rectangle: Area = 12yd * 8yd = 96yd^2

Middle Rectangle: Area = 12yd * 5yd = 60yd^2

Bottom Rectangle: Area = 12yd * 9yd = 108yd^2

Add Total Surface Area:

Surface Area = LTrig + RTrig + TopRect + MidRect + BotRect

Surface Area = 18 + 18 + 96 + 60 + 108

Surface Area = 300 yd^2

I am not sure if there is a short cut.

User Fastec
by
6.7k points