Математика22 мин

3D Figures

Surface area and volume of prisms, pyramids, cylinders, cones, and spheres — plus the diagonals.

Volume cheatsheet

Solid	Volume
Prism	$\text{base area} \times h$
Pyramid	$\tfrac{1}{3} \times \text{base area} \times h$
Cylinder	$\pi r^2 h$
Cone	$\tfrac{1}{3}\pi r^2 h$
Sphere	$\tfrac{4}{3}\pi r^3$

Жаттығу

Volume of a cone with radius 3 and height 4?

Жауап пен түсініктемені көру

Жауап: $12\pi$

$V = \tfrac{1}{3}\pi \cdot 9 \cdot 4 = 12\pi$ .

d = \sqrt{a^2 + b^2 + c^2}

Space diagonal of an

a \times b \times c

rectangular box.

Apply Pythagoras twice — once on the base, again with the height.