[PDF] Word problem involving the volume of a triangular prism: Worksheet





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[PDF] Volume of a Triangular Prism: Worksheet 91 - Tutorialspoint

Volume of the triangular prism = 960 cu cm 2 Volume of the triangular prism = 144 cu in 3 Volume of the triangular prism = 132 cu ft

Figure out the volume of a triangular prism by plugging in the area of the triangular cross-section and length expressed as integers in the formula V = Area of the triangular cross-section * length.
  • What is a formula for a triangular prism?

    Volume of Triangular Prism = ½ × b × h × l
    Where b is the base length, h is the height of the triangle and l is the length between the triangular bases.
  • To find the volume of a rectangular prism you can use the formula V = lwh, where / is the length, w is the width, and h is the height.
Word problem involving the volume of a triangular prism:

Worksheet 10.1

Name """""""""""" Date """""""""""" Score """""""""""""

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.

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.

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.

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.

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.

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.

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.

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.

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.

10. A right prism base 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.

Solutions: Worksheet 10.1

1. Volume of triangular prism = 64.88 cu cm

2. Volume of triangular prism = 54 cu cm

3. Height of triangular prism = 8 cm

4. Volume of triangular prism = 252 cu cm

5. Volume of triangular prism = 55.36 cu cm

6. Volume of triangular prism = 270 cu cm

7. Height of triangular prism = 7 cm

8. Volume of triangular prism = 288 cu cm

9. Area of base triangle = 12.5 square m

10. Volume of triangular prism = 864 cu cm

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