15 - 3D Shapes Flashcards
How do you calculate the volume of a prism (Inc. Cyllinder)
Base SA x Height
How do you calculate the volume of a sphere?
4/3 πr³
How do you calculate the surface area of a sphere?
4πr²
How do you calculate the volume of a cone?
1/3hπr²
How do you calculate the surface area of a cone?
Curved SA + area of base
πrl + πr²
How do you calculate the volume of a pyramid
1/3 x base area x height
How do you calculate the surface area of a pyramid using slope lenghts and base length?
√(slope length² + base length²) x 4
+
base area
How do you work out the volume of a frustrum?
Larger volume - Smaller Volume
if, in a frustrum, the upper radius is 8 and the lower radius is 12 and the height is 4, how do you work out the total height?
12/8 = 1.5
1.5 x 4 = 6
total height = 6
smaller height = 2
