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The volume of the prism is 72 cubic feet. Find the missing height of the triangular prism, and the surface area.

The volume of the prism is 72 cubic feet. Find the missing height of the triangular-example-1
User Rindress
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2 Answers

3 votes
H=12 I feel like it this
User Teu
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6 votes

Answer:

h = 12

surface area = 192

Explanation:

Volume of this prism = 72

The base triangle has an area of B * h/2

The base = 6

The height in red = 2

Area = 1/2 * 6 * 2

Area = 6 ft^2

The volume = B * h = 72

The base = 6

6* h = 72

h = 72/6

h = 12

The surface area = 2 triangles + the rectangle face closest to us + the rectangular face whose width is 4 + rectangular face whose with is 5

The surface area = 2 * 6 + 6* 12 + 4*12 + 5 * 12

The surface area = 12 + 72 + 48 + 60

The surface area = 192 square feet.

User Mayur Bhola
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