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2 years ago

How many square inches of sheet metal are used to make the vent transition shown? (The ends are open.)

Mathematics

1 answer:

ad-work [718]2 years ago

3 0

Answer:

Area of the metal sheet required = 364 square inches

Step-by-step explanation:

Area of the metal sheet required = Surface area of the lateral sides of the vent transition

Since, lateral sides of the vent is in the shape of a trapezoid,

Therefore, surface area of the vent = 4(Surface area of one lateral side)

= $4[\frac{1}{2}(b_1+b_2)h]$

Here, $b_1$ and $b_2$ are two parallel sides and $h$ is the distance between these parallel sides.

Surface area of the vent = $4[\frac{1}{2}(8+5)14]$

= 364 square inches

Therefore, area of the metal sheet required = 364 square inches

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How many square inches of sheet metal are used to make the vent transition​ shown? (The ends are​ open.)

How many square inches of sheet metal are used to make the vent transition shown? (The ends are open.)