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2 years ago

Find the surface area of the prism.

Mathematics

2 answers:

lubasha [3.4K]2 years ago

5 0

Answer:

56 yd²

Step-by-step explanation:

The surface area of the given triangular prism is made up of:

2 congruent triangles
2 congruent side rectangles
1 base rectangle

Area of the triangle = 1/2 × base × height

= 1/2 × 6 × 4

= 12 yd²

Area of the side rectangle = width × length

= 2 × 5

= 10 yd²

Area of the base rectangle = width × length

= 2 × 6

= 12 yd²

Total Surface Area = 2 triangles + 2 side rectangles + base rectangle

= 2(12) + 2(10) + 12

= 24 + 20 + 12

= 44 + 12

= 56 yd²

Katyanochek1 [597]2 years ago

4 0

Area of two traingle faces

2(1/2BH)
BH
6(4)
24yd²

Area of base

LB
2(6)
12yd²

Area of rest two rectangles

2LB
2(5)(2)
20yd²

Total surface area

20+12+24
20+36
56yd²

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