VOLUME OF TRIANGULAR PRISM WORKSHEET

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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

1) volume of triangular prism = 64.95 cm³

2) volume of triangular prism = 54 cm³

3) height of triangular prism = 8 cm.

4) the volume of triangular prism V = 252 cm³

5) volume of triangular prism = 55.42 cm³

6) the volume of triangular prism V = 270 cm³

7) height of triangular prism = 7 cm.

8) volume of the triangular prism = 288 cm³.

9) Area of base of triangle = 12.5 m²

10) volume of the triangular prism = 864 cm³.

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.

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

Solution

Answer Key

1) V = 960 cm³

2) i) surface area of triangular prism = 840 cm²

ii) 2400 cm³

3) volume of triangular prism = 64.95 cm³

4) volume of triangular prism = 54 cm³

5) the side length of the cube is 6 cm.

6) height of the triangular prism is 6 ft.

7) a) 720 square cm

b) 1440 square cm.

8) the height of the triangular prism is 11 cm

9) the volume of given triangular prism is 240 cm².

Problem 1 :

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

Solution

Problem 2 :

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

Solution

Problem 3 :

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

Solution

Problem 4 :

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.