Find the total surface area of the prism. 7 ft 8 ft 5 ft 5 ft

Mathematics

1 answer:

Harlamova29_29 [7]2 years ago

8 0

Answer:

The total surface area of triangular prism

A = 232 foot²

Step-by-step explanation:

Explanation:-

Given bases of prism 5 f t , 5 f t , 7 f t

The perimeter of the sum of the bases

P = 7 + 5 +5 = 17 f t

Lateral surface area =perimeter X height

= 1 7 × 8

= 136 f t²

Base area of the triangular prism = $\frac{1}{2} h ( b_{1} + b_{2} ) = \frac{1}{2} 8 ( 5 +7) =48$

The total surface area of triangular prism

$A = p h + 2 Base Area$

$A = p h + 2 Base Area = 136 + 2 ( 4 8 ) = 232$

The total surface area of triangular prism

A = 232 foot²

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