Shape, Space, and Measure Flashcards

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)?

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.

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?

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.

Which of the following statements correctly describes the properties of a triangular prism?

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.

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)?

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.

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?

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.

An angle measures 135 degrees. How would this angle be classified?

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.