Stage 5 Volume Assessment: Rectangular, Triangular Prisms, and Composite Solids

Volume of Rectangular Prisms

• Volume of a rectangular prism = Length × Width × Height (V = lwh)
• Formula is used to calculate the volume of a rectangular prism, where l is the length, w is the width, and h is the height

Volume of Triangular Prisms

• Volume of a triangular prism = (1/2) × Base × Height × Length (V = (1/2)bhl)
• Formula is used to calculate the volume of a triangular prism, where b is the base of the triangle, h is the height of the triangle, and l is the length of the prism

Volume of Cylinders

• Volume of a cylinder = π × Radius² × Height (V = πr²h)
• Formula is used to calculate the volume of a cylinder, where r is the radius of the cylinder and h is the height

Volume of Composite Solids

• Composite solid is a solid shape made up of two or more simple shapes
• Volume of a composite solid is calculated by finding the volume of each individual shape and adding them together

Now, here is an exam with 5 multiple choice questions and 5 short answer questions based on the above study notes:

• Multiple Choice Questions:*

1. What is the formula for the volume of a rectangular prism? a) V = lwh b) V = (1/2)bhl c) V = πr²h d) V = lwh/2

Answer: a) V = lwh

2. Which of the following shapes has a volume formula that involves π? a) Rectangular prism b) Triangular prism c) Cylinder d) Composite solid

Answer: c) Cylinder

3. What is the formula for the volume of a triangular prism? a) V = lwh b) V = (1/2)bhl c) V = πr²h d) V = lwh/2

Answer: b) V = (1/2)bhl

4. What is a composite solid? a) A solid shape made up of two or more simple shapes b) A solid shape made up of one simple shape c) A 2D shape d) A 3D shape

Answer: a) A solid shape made up of two or more simple shapes

5. If a rectangular prism has a length of 5cm, width of 3cm, and height of 2cm, what is its volume? a) 10cm³ b) 15cm³ c) 20cm³ d) 30cm³

Answer: c) 30cm³

• Short Answer Questions:*

1. What is the formula for the volume of a cylinder?

Answer: V = πr²h

2. Calculate the volume of a rectangular prism with a length of 6cm, width of 4cm, and height of 3cm.

Answer: V = lwh = 6 × 4 × 3 = 72cm³

3. What is the formula for the volume of a triangular prism?

Answer: V = (1/2)bhl

4. If a cylinder has a radius of 2cm and a height of 5cm, what is its volume? (Use π = 3.14)

Answer: V = πr²h = 3.14 × 2² × 5 = 62.8cm³

5. Describe a composite solid.

Answer: A composite solid is a solid shape made up of two or more simple shapes.