SURFACE AREA AND VOLUME OF TRIANGULAR PRISM

Find the lateral surface area and total surface area of the triangular prism.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 3 :

Determine the surface area of the tent. The front of the tent has the shape on an isosceles triangle.

Solution

Problem 5 :

This A-frame chalet needs to have the roof shingled. Determine the surface area of the roof.

Hint: Think about whether the height of the chalet is the same as the height of the prism. Which measurements are unnecessary for this question?

Solution

Problem 6 :

Hector is designing a glass greenhouse for a city park. He has a 40-foot by 20- foot rectangular plot available. He wants the roof to be a triangular prism in which the center of the roof is 4 feet higher than the edges. The glass costs $25 per square foot, and Hector cannot spend more than $60,000 on glass.

a) What is the maximum height that Hector should make the edge of the roof?

Solution

Answer Key

Volume of Triangular Prism

Problem 1 :

The height of a triangular prism is 6 cm and its base is an equilateral triangle of side 5 cm. Find the volume of the prism.

Solution

Problem 2 :

A right prism stands on a base which is a right triangle with legs 3 cm and 4 cm. find the volume of the prism if its height is 9 cm.

Solution

Problem 3 :

The base of a right prism is a right triangle with legs 6 and 8 cm. if the volume of the prism be 192 cu cm. find the height of the prism.

Solution

Problem 4 :

The base of a right prism is a triangle with base 12 cm and height 6 cm. find the volume of the prism if its height is 7 cm.

Solution

Problem 5 :

The height of a triangular prism is 8 cm and its base is an equilateral triangle of side 4 cm. Find the volume of the prism.

Solution

Problem 6 :

The height of a right prism is 12 cm and its base is a triangle with 9 cm as base and height 5 cm. Find the volume of the prism.

Solution

Problem 7 :

The base of a right prism is a right triangle with legs 12 and 5 cm. if the volume of the prism be 210 cu cm. find the height of the prism.

Solution

Problem 8 :

A right prism base is a triangle whose sides are 6 cm, 8 cm and 10 cm. Find the volume of the prism if its height is 12 cm.

Solution

Problem 9 :

The height of a right prism is 15 m and its base is a triangle. If the volume of the prism is 187.5 cu m, find the area of the base triangle.

Solution

Problem 10 :

A right prism is a triangle whose sides are 18 cm, 20 cm and 34 cm. find the volume of the prism if its height is 6 cm.

Solution

Answer key