Volume of a Prism
Part of the Surface Area & Volume section of Coddy's Geometry journey. Lesson 3 of 60.
Cut a loaf of bread into slices. Every slice has the same shape. Put the slices back together and you have the loaf again. A box is like that too, so a box is a prism.
A solid with the same slice all the way through is a prism. It has two equal ends, joined by flat faces. Volume of a prism = area of the end × length.
The legs of a right triangle are the two sides at the right angle. A right triangle end with legs 4 and 3 has area . So a prism 6 long holds .
Challenge
The prism's ends are right triangles. Find its volume V.
Then press Check.
Try it yourself
Use the figure to find V
All lessons in Surface Area & Volume
1Volume of Prisms
Volume of a CuboidDouble Every EdgeVolume of a PrismAny Triangle EndA Missing EdgeRecap: Prism Volume4Pyramids
Volume of a PyramidThe Slant HeightHeight From the SlantHeight From the VolumeRecap: Pyramids3Cylinders
Volume of a CylinderHeight From the VolumeRadius From the VolumeEnough to Find It?Recap: Cylinders6Spheres and Hemispheres
Volume of a SphereHalf a SphereRadius From the VolumeSphere in a CylinderRecap: Spheres9Pyramids and Cones Outside
Surface of a PyramidSlant Height FirstSurface of a ConeThe Cone: Slant FirstRecap: Pyramid Surfaces