Volume of Pentagonal Prism: 1100 cubic centimeters Height of Triangular Prism: 10 centimeters Base of Triangular Prism: Isosceles triangle with a base of 8 centimeters and a height of 5.5 centimeters
We are asked to find its volume by dividing the prism into five congruent triangular prisms. Let's do it and analyze one of them!
The height of the triangular prism is h=10 centimeters. Let's analyze its base.
It is a triangle with a base b=8 centimeters and a height of h=5.5 centimeters. Now we can find the base area B_(â–ł) using the formula for the area of a triangle.
Therefore, the base area of the triangular prism is B_(â–ł)=22 square centimeters. Let's find the volume of the pentagonal prism V by finding the volume of the triangular prism V_(â–ł). We will use the formula for the volume of a prism.
Therefore, the volume of the triangular prism is V_(â–ł)=220 cubic centimeters. The pentagonal prism consists of five congruent triangular prisms, each with a volume of 220 cubic centimeters. Now we can finally find the volume of the pentagonal prism V.
