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Test: Calculating area and volume of various shapes - Year 8 MCQ


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10 Questions MCQ Test Year 8 Mathematics (Cambridge) - Test: Calculating area and volume of various shapes

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Test: Calculating area and volume of various shapes - Question 1

A cuboid has a length of 10 cm, a width of 5 cm and a height of 15 cm. What is its volume?

Detailed Solution for Test: Calculating area and volume of various shapes - Question 1

750 cm3= 10 cm x 5 cm x 15 cm (V = l x w x h)

Test: Calculating area and volume of various shapes - Question 2

An oil drum (cylinder) measures 88 cm tall and has a diameter of 60 cm. Approximately how many litres can it hold?

Detailed Solution for Test: Calculating area and volume of various shapes - Question 2

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

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Test: Calculating area and volume of various shapes - Question 3

The volume of a cube is 125 cm3. What is the length of each edge of the cube?

Detailed Solution for Test: Calculating area and volume of various shapes - Question 3

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

Test: Calculating area and volume of various shapes - Question 4

A cuboid has a volume of 72 cm3. Its length is 6 cm and its width is 4 cm. What is the height of the cuboid?

Detailed Solution for Test: Calculating area and volume of various shapes - Question 4

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

Test: Calculating area and volume of various shapes - Question 5

What is the volume of a cuboid with a length of 8 cm, a width of 4 cm and a height of 6 cm?

Detailed Solution for Test: Calculating area and volume of various shapes - Question 5

8 x 4 x 6 = 192

Test: Calculating area and volume of various shapes - Question 6

What is the volume of a cube with side length 3 cm?

Detailed Solution for Test: Calculating area and volume of various shapes - Question 6

The volume of a cube is calculated by side length3. Therefore, 3 cm × 3 cm × 3 cm = 27 cm3.

Test: Calculating area and volume of various shapes - Question 7

A rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm. What is its volume?

Detailed Solution for Test: Calculating area and volume of various shapes - Question 7

The volume of a rectangular prism is calculated by length × width × height. Therefore, 5 cm × 4 cm × 3 cm = 60 cm3.

Test: Calculating area and volume of various shapes - Question 8

A tank has a length of 50 cm, a width of 60 cm and a height of 80 cm. How many litres of water can it hold?

Detailed Solution for Test: Calculating area and volume of various shapes - Question 8

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

Test: Calculating area and volume of various shapes - Question 9

A container can hold 1,500 cm3 of water. How many liters of water can it hold?

Detailed Solution for Test: Calculating area and volume of various shapes - Question 9

1 liter is equivalent to 1,000 cm3. Therefore, to convert cm³ to liters, we divide by 1,000: 1,500 cm3 ÷ 1,000 = 1.5 liters.

Test: Calculating area and volume of various shapes - Question 10

If the volume of a cylinder is given by the formula V = πr2h, what is the volume of a cylinder with a radius of 2 cm and a height of 5 cm?  Use π ≈ 3.14.

Detailed Solution for Test: Calculating area and volume of various shapes - Question 10

Using the formula V = πr2h, we substitute the given values: V = 3.14 × 2 2 × 5 = 3.14 × 4 × 5 = 62.8 cm3.

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