The area of a triangle is half that of the square around it, so in this case that would be: [tex]0.5 \times (8 \times 7) = 28[/tex] The formula for the volume is: [tex]v = b \times h[/tex] This leads to: [tex]224 = 28 \times h \\ h = 224 \div 28 = 8[/tex]
Hey! No problem if you don't understand. Hopefully you will after this! So we know the base lengths and we know that B is the area of the base. Here is how we would set it up. V = ((b*h)/2) * h That's the volume of this triangular prism because the triangle is the base and the area of a triangle is (b*h)/2. Now we can fill the variables in. 224 = ((8*7)/2) * h Solve for the area of the base 224=28h Now you want to get h alone because that is what you are solving for. Sadly, 28 is multiplied to it so what can we do? We would divide 28 on both sides, getting us: h = 8
We can check if that's right! V = ((8*7)/2) * 8 V = 28 * 8 V = 224 That's right! So H is 8 Hope this helps!
