Kemal G. answered • 05/29/17

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Hi Lizzy,

The surface of the prism will be the sum of the bases' area plus the lateral surface area.

Base area is 6*8/2 = 24 in^2. There are two triangles so 2*24 = 48 in^2

The lateral surface area is equal to height times the sides of the base.

7*(6+8+10) = 168 in^2 The hypotenuse of the base triangle is 10 in. I used the Pythagorean Theorem to find it. 6^2 + 8^2 = x^2

36+64 = x^2

x =10 in

Surface area = 48 + 168 = 216 in^2

Kemal G.

05/29/17