Question

th 8.7b solutions for volume of cylinders, cones, and spheres, s for the surface area of prisms and cylinders. – 2. wood d the use the diagram to answer questions 3 – 4. 3. calculate the perimeter of the base of the triangular prism. answer: ____ 4. calculate the area of the base of the triangular prism. answer: ____ lateral surface area of the

Explanation:

Question 3

Step1: Identify base triangle sides

The base of the triangular prism is a triangle with sides \(6\,\text{m}\), \(7\,\text{m}\), and \(8\,\text{m}\) (from the diagram: the three sides of the triangular base are 6m, 7m, 8m).

Step2: Calculate perimeter

Perimeter of a triangle is the sum of its side lengths. So, \(P = 6 + 7 + 8\).
\(P = 21\,\text{m}\)

Step1: Identify triangle base and height

The triangular base has a base of \(7\,\text{m}\) and a height of \(5\,\text{m}\) (from the right - angled height of the triangle in the diagram).

Step2: Use triangle area formula

The formula for the area of a triangle is \(A=\frac{1}{2}\times\text{base}\times\text{height}\). Substituting the values, we get \(A = \frac{1}{2}\times7\times5\).
\(A=\frac{35}{2}=17.5\,\text{m}^2\)

Answer:

\(21\) meters

Question 4