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ANTONII [103]
4 years ago
15

What is the surface area of a right rectangular prism with a length of 5 cm, a width of 6​ cm, and a height of ​7​ cm? Enter you

r answer in the box. The surface area is
______cm².
Mathematics
1 answer:
Ksivusya [100]4 years ago
7 0

Answer:

Surface Area = 214 cm^2

Step-by-step explanation:

A right Rectangular prism is gotten by adding the products of all it's sides.

That is to say, the products of it's length and width; width and height; length and health.

The formula is expressed as:

S.A = 2lw + 2wh + 2lh

= 2( lw + wh + lh).

From the Question:

Length (l) = 5cm

Width (w) = 6cm

Height (h) = 7cm

Surface Area (S.A) = 2(5*6 + 6*7 + 5*7)

S.A = 2( 30 + 42 + 35)

S.A= 2(107)

S.A = 214 cm^2

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Using the trigonometric identity: \cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}

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           $=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}

Using \sqrt{4} =2:

           $=\frac{\sqrt{2+\sqrt{3}}}{2}

$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}

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