Flashcards · Maths · Geometry and Measures
Volume and Surface Area
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What is the volume of a cuboid?
\(l \times w \times h\).
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What is the surface area of a cuboid?
\(2lw + 2lh + 2wh\).
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What is the volume of a prism?
The area of the cross-section multiplied by the length.
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What shape is the curved surface of a cylinder when it is opened out?
A rectangle.
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What is the volume of a cylinder?
\(\pi r^2 h\).
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What is the curved surface area of a cylinder?
\(2\pi r h\).
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What is the total surface area of a closed cylinder?
\(2\pi r h + 2\pi r^2\).
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What is the volume of a cylinder with radius 3 cm and height 10 cm?
\(90\pi\) cm\(^3\).
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How many millilitres are in 1 cm\(^3\)?
1 ml.
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What is the volume of a cone (Higher tier)?
\(\dfrac{1}{3}\pi r^2 h\).
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What is the curved surface area of a cone (Higher tier)?
\(\pi r l\), where \(l\) is the slant height.
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What is the volume of a sphere (Higher tier)?
\(\dfrac{4}{3}\pi r^3\).
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What is the surface area of a sphere (Higher tier)?
\(4\pi r^2\).
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What is the volume of a pyramid (Higher tier)?
\(\dfrac{1}{3} \times\) base area \(\times\) vertical height.
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What is a net?
A flat shape that folds up to make a 3D shape.
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How do you find the mass from the density and volume?
Mass \(=\) density \(\times\) volume.