Free BKSB Shape, Space, and Measure Questions and Answers 1 — Questions and Answers
Question 1: A packaging box is a cuboid measuring 40 cm in length, 20 cm in width, and 10 cm in height. What is the volume of the box in cubic centimetres (cm³)?
- 70 cm³
- 800 cm³
- 2800 cm³
- 8000 cm³ (Correct answer)
Correct answer: 8000 cm³
The volume of a cuboid is calculated by multiplying its length, width, and height. Volume = Length × Width × Height. In this case, Volume = 40 cm × 20 cm × 10 cm = 8000 cm³.
Question 2: A groundskeeper is marking the boundary of a new rectangular playing field that is 90 metres long and 60 metres wide. What is the total perimeter of the field?
- 150 metres
- 5400 metres
- 300 metres (Correct answer)
- 240 metres
Correct answer: 300 metres
The perimeter of a rectangle is the total distance around its boundary. It is calculated using the formula P = 2 × (length + width). So, P = 2 × (90m + 60m) = 2 × 150m = 300 metres.
Question 3: Which of the following statements correctly describes the properties of a triangular prism?
- It has 6 faces, 8 edges, and 6 vertices.
- It has 5 faces, 9 edges, and 6 vertices. (Correct answer)
- It has 5 faces, 8 edges, and 5 vertices.
- It has 6 faces, 12 edges, and 8 vertices.
Correct answer: It has 5 faces, 9 edges, and 6 vertices.
A triangular prism is a 3D shape with two identical triangular bases and three rectangular sides. It has a total of 5 faces (2 triangles + 3 rectangles), 9 edges, and 6 vertices.
Question 4: An architect is drawing a floor plan. A room has an area of 1.5 square metres (m²). What is this area in square centimetres (cm²)?
- 150 cm²
- 1,500 cm²
- 15,000 cm² (Correct answer)
- 150,000 cm²
Correct answer: 15,000 cm²
To convert square metres to square centimetres, you multiply by 10,000, because 1 metre = 100 centimetres, so 1 m² = 100 cm × 100 cm = 10,000 cm². Therefore, 1.5 m² × 10,000 = 15,000 cm².
Question 5: A triangular garden plot has a base of 12 metres and a perpendicular height of 5 metres. What is the area of the garden plot?
- 60 m²
- 17 m²
- 30 m² (Correct answer)
- 120 m²
Correct answer: 30 m²
The area of a triangle is calculated using the formula: Area = (1/2) × base × height. For this garden plot, the area is (1/2) × 12 m × 5 m = 6 m × 5 m = 30 m².
Question 6: An angle measures 135 degrees. How would this angle be classified?
- Acute
- Obtuse (Correct answer)
- Reflex
- Right
Correct answer: Obtuse
An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees. Since 135 degrees falls within this range, it is classified as an obtuse angle.
Free BKSB Shape, Space, and Measure Questions and Answers 1
A packaging box is a cuboid measuring 40 cm in length, 20 cm in width, and 10 cm in height.
What is the volume of the box in cubic centimetres (cm³)?