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

Problem 7 :

A solid glass paperweight is in the shape of a triangular prism The density of the glass is 2.4 g/cm³ Work out the mass of the paperweight.

Solution

Problem 8 :

A triangular prism has a rectangular prism cut out of it from one base to the opposite base, as shown in the figure. Determine the volume of the figure, provided all dimensions are in millimeters.

Solution

Problem 9 :

Find the volume of the right triangular prism.

a. 60 u³      b. 100 u³      c. 120 u³       d. 200 u³

Solution

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

Problem 1 :

Find the volume of the triangular prism given below.

Solution

Problem 2 :

Find the 

(i) Total surface area

(ii) Volume

of the triangular prism given below.

Solution

Problem 3 :

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 4 :

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 5 :

The solid triangular prism shown below is made from metal. The prism is melted down and the metal is used to create a solid cube. Find the side length of the cube.

Solution

Problem 6 :

Use the appropriate formula to solve for the missing measurement: Find the height of a triangular prism if it has length of 14ft, a base of 8 ft, and a volume of 336 ft³

Solution

Problem 7 :

a) Calculate the volume of the triangular prism.

b) The slice is 1/2 of a rectangular cake. What was the volume of the original cake?

Solution

Problem 8 :

The diagram shows a triangular prism. The cross-section of the prism is a right angled triangle. The volume of the prism is 198 cm³ Calculate the value of x

Solution

Problem 9 :

Here is a triangular prism.

Solution