Test: Volume and surface area calculations - Year 9 MCQ

10 x 3 x 4 = 120 so 5 x 4 x ? = 120
5 x 4 = 20 so 20 x ? = 120
120 ÷ 20 = 6

72 cm = 6 cm x 4 cm x 3 cm (V = l x w x h)

V = l x w x h (V = lwh)

60 cm diameter = 30 cm radius. 30² = 900. 900 x 3.142 (π) = 2,827.8 Multiply this by 88 (height or length) = 248,846 cm³ or approximately 249 litres

The cube root of 125 = 5 because 5 x 5 x 5 = 125

1 litre = 1,000 cm³.
Each of the smaller boxes has a volume of 1 litre

The volume of a cylinder is found using the formula V = πr²h. For a cylinder with a radius of 2 cm and a height of 10 cm: V = 3.14 × 2² × 10 = 3.14 × 4 × 10 = 125.6 cm³.

50 cm x 60 cm x 80 cm = 240,000 cm³.
Then divide by 1,000 as 1 litre = 1,000 cm³

The volume of a rectangular box is found by multiplying the length, width, and height: V = l × w × h = 5 × 4 × 3 = 60 cm³.

The volume of a cube is found by raising the side length to the third power. For a cube with a side length of 3 cm: V = 3³ = 27cm³.