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nekit [7.7K]
2 years ago
13

Find the volume and surface area of this shape

Mathematics
2 answers:
DiKsa [7]2 years ago
7 0

Answer:

171.65

Step-by-step explanation:

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving forA

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=5·10+5·10+5·10+1

2·﹣54+2·(5·5)2+2·(5·5)2﹣54+2·(5·5)2﹣54≈171.65064

BlackZzzverrR [31]2 years ago
3 0

Answer:

Surface area = 184 cm²

Volume = 120 cm³

Step-by-step explanation:

1) Formula to find the surface area of a triangular prism is:

Surface area = ( Areas of the 3 rectangles) + ( Area of the 2 triangles)

<u>Let us solve it now.</u>

Surface area = ( Areas of the 3 rectangles) + ( Area of the 2 triangles)

                     = ( 10 × 6 + 10 × 5 + 10 × 5 )cm²  + ( 2  × 1/2  × 6  × 4 ) cm²

                     = ( 60 + 50 + 50 ) cm² + 24 cm²

                     = 160 cm² + 24 cm²

                      =<u> 184 cm²</u>

2) Formula to find the volume of the triangular prism is:

Volume = Area of the cross section  × length

<u>Let us solve now.</u>

Volume = Area of the cross-section ( area of the triangle )  × length

               = 1/2 × b × h ×  l

               = 1/2 × 6 × 4 × 10

                = <u>120 cm³</u>

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