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Licemer1 [7]
3 years ago
8

Find the T.A. for the prism and also find the L.A. for the prism

Mathematics
2 answers:
jonny [76]3 years ago
8 0

Answer:

The total area of a prism is

A=ph +2B

Where p is the perimeter of the base, h is the height of the prims and B is the area of the base.

Remember that the perimeter is the sum of all side. So, first we need to find the hypothenuse of the base triangle.

h^{2}=4^{2}  +6^{2}\\ h=\sqrt{16+36} =\sqrt{52} \approx  7.2

Now, the perimeter of the base is

p=7.2+6+4=17.2

Also, the height of the prism is h=8, and the area of the base is

B=\frac{1}{2}4(6)=12

Then, we replace all values,

A=17.2(8)+2(12)=137.6+24=161.6

So, the total area of the prism is 161.6 square units, approximately.

Now, the lateral area is defined as L=ph, replacing all values, we have

L=17.2(8)=137.6

So, the lateral area is 137.6 square units, approximately.

garik1379 [7]3 years ago
5 0
Use <span><span> bh</span> + (S</span>1+ S2 + S3<span>)H to find the T.A.
</span>Triangle: base 'b', height 'h', and sides S1, S2 and S3<span> 
</span>use L=Ph to find L.A. (<span>the surface area of all sides, or faces, that are not the base)</span>
L= the lateral area of the prism, P= the perimeter of one base, h= the height of the prism
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