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.

Test your understanding of volume calculations for rectangular prisms, triangular prisms, cylinders, and composite solids. This quiz is designed for stage 5 students, covering concepts of volume and capacity.