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Volume of prisms
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EasyQuestion 1
[3 marks]A rectangular prism has a base length of 5 cm, a width of 3 cm, and a height of 4 cm. Calculate the volume of the prism.
Solution for Question 1
MediumQuestion 2
[4 marks]A triangular prism has a triangular base with a base length of 6 cm and a height of 4 cm. The height of the prism is 10 cm. Calculate the volume of the prism.
Solution for Question 2
HardQuestion 3
[6 marks]A hexagonal prism has a base with a side length of 3 cm. The height of the prism is 8 cm. Calculate the volume of the prism, rounding your answer to two decimal places.
Solution for Question 3
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Volume of prisms is a fundamental concept in geometry that deals with the measurement of three-dimensional shapes, specifically prisms. A prism is defined as a solid shape with two identical bases connected by rectangular faces. Understanding the volume of prisms is essential not only for GCSE Mathematics but also in various real-world applications such as architecture, engineering, and design. The volume of a prism can be calculated using the formula:
**Volume = Area of Base × Height**
This formula highlights the relationship between the base area of the prism and its height, allowing students to grasp how these dimensions affect the overall capacity of the shape. In exams, students may be asked to find the volume of various types of prisms, including rectangular, triangular, and hexagonal prisms, requiring them to apply this formula in practical scenarios. It is also important for students to be able to calculate the area of the base shape, as this is a key step in determining the volume. Mastery of this topic not only prepares students for GCSE assessments but also lays a solid foundation for further studies in mathematics and science. Students can expect to encounter questions that test both their understanding of the formula and their ability to apply it to different types of problems, which is why practice is crucial for success in this area.
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