Questions and Answers
What is the volume of a triangular prism with a base triangle height of 12 cm, base of 5 cm, and prism height of 25 cm?
150 cm³
What is the volume of a triangular prism with a base triangle height of 6 cm, base of 10√3 cm, and prism height of 10√3 cm?
200 cm³
What is the volume of a triangular prism with a base triangle height of 8 cm, base of 10 cm, and prism height of 30 cm?
120 cm³
What is the volume of a triangular prism with a base triangle height of 13 cm, base of 10 cm, and prism height of 18 cm?
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What is the volume of a triangular prism with a base triangle height of 8 cm, base of 20 cm, and prism height of 15 cm?
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What is the volume of a rectangular prism with a height of 40 cm, width of 16 cm, and length of 12 cm?
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Study Notes
Volume of Prisms
- The volume of a prism is calculated using the formula: Volume = Base Area × Height.
Triangular Prism Volume Calculations
-
Prism (i):
- Base triangle height: 12 cm
- Base of triangle: 5 cm
- Prism height: 25 cm
- Volume = 0.5 × Base × Height × Height of Prism = 0.5 × 5 cm × 12 cm × 25 cm
-
Prism (ii):
- Base triangle height: 6 cm
- Base of triangle: 10√3 cm
- Prism height: 10√3 cm
- Volume = 0.5 × 10√3 cm × 6 cm × 10√3 cm
-
Prism (iii):
- Base triangle height: 8 cm
- Base of triangle: 10 cm
- Prism height: 30 cm
- Volume = 0.5 × 10 cm × 8 cm × 30 cm
-
Prism (iv):
- Base triangle height: 13 cm
- Base of triangle: 10 cm
- Prism height: 18 cm
- Volume = 0.5 × 10 cm × 13 cm × 18 cm
-
Prism (v):
- Base triangle height: 8 cm
- Base of triangle: 20 cm
- Prism height: 15 cm
- Volume = 0.5 × 20 cm × 8 cm × 15 cm
Rectangular Prism Volume Calculation
-
Prism (vi):
- Height: 40 cm
- Width: 16 cm
- Length: 12 cm
- Volume = Height × Width × Length = 40 cm × 16 cm × 12 cm
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Description
This quiz focuses on calculating the volumes of various types of triangular prisms. Participants will apply their knowledge of geometry to find the volume based on given dimensions. It's an excellent way to test your understanding of mensuration concepts.
