Answer:
Surface Area = 416mm
Step-by-step explanation:
In order to find the surface area we can find the area of each face and add them up. The bases area can be found by doing A = [tex]length * width[/tex]. So when we substitute we get [tex]12 * 10 = 120mm^2[/tex] for the base. Next we can solve for the area of the triangle face using the formula A = [tex]\frac{1}{2} base*height[/tex]. When we substitute for the variables we get [tex](\frac{1}{2} )*12*8[/tex] = 48. Since there are 2 faces with this same triangle we can multiply 48 by 2 to get the other side as well. 48 x 2 = 96. Finally we can find the square sides using A = [tex]length*width[/tex]. When we substitute for the variables we get [tex]10*10 = 100[/tex]. We can also multiply this by 2 since there are 2 similar square sides. 100 x 2 = 200.
Now we can add the areas for every side:
48(2) + 100(2) + 120 = 96 + 200 + 120 = [tex]416[/tex][tex]mm^2[/tex]
