Question

The base of a right prism is a right angled triangle. The measure of the base of the right angled triangle is 3 m and its height 4 m. If the height of the prism is 7 m then find (i) the number of edges of the prism (ii) the volume of the prism (iii) the total surface area of the prism.

Answer 1

(i) The number of the edges = The number of sides of the base x 3 = 3 x 3 = 9

(ii) The volume of the prism = Area of the base x Height of the prism = $\frac{1}{2}(3\times 4)\times 7=42m^3$

(iii)TSA = LSA + 2(area of base) = ph + 2(area of base) where p = perimeter of the base = sum of length of the sides of the given triangle

As hypotenuse of the triangle $=\sqrt{3^2+4^2}$

$=\sqrt{25}$ = 5 m