What is the formula for computing the volume of a rectangular parallelepiped?

The volume of a rectangular parallelepiped is given by the formula (L⋅l⋅h) where L represents the length, the width on one side and h the height.

Is volume always area times height?

Be sure that all of the measurements are in the same unit before computing the volume. The volume V of a prism is the area of the base B times the height h .

What is area of the base times height?

The area of a rectangle is base × height, alternatively written as length × width. To make a rectangle into a triangle, divide it in half diagonally. Since the area of a rectangle is base × height, the area of a triangle is 1 / 2 × base × height.

Why is volume of parallelepiped?

The height of the parallelepiped is the component of c in the direction normal to the base, i.e., in the direction of a×b. Hence the height is ∥c∥ |cosϕ|, where ϕ is the angle between c and a×b. The volume of the parallelepiped is therefore Volume=∥a×b∥ ∥c∥ |cosϕ|=|(a×b)⋅c|.

What is the difference between parallelogram and parallelepiped?

is that parallelogram is (geometry) a convex quadrilateral in which each pair of opposite edges are parallel and of equal length while parallelepiped is (geometry) solid figure, having six faces, all parallelograms; all opposite faces being similar and parallel.

How do you find volume with base times height?

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle.

How do you find volume with only height?

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

How do you find the volume of a parallelepiped?

What is a Parallelepiped? There are two formulas for finding volume of a parallelepiped. They are given as: Where V is the volume, h is the height, a and b are the base edge vectors, γ is the angle between vectors a and b, and B is the area of the base.

What is the shape of parallelepiped?

A parallelepiped is a three-dimensional figure made of six parallelograms. It has straight edges and flat faces. The shape is related to parallelogram. What is the area of parallelepiped?

How many pairs of congruent parallelograms are in a parallelepiped?

A given parallelepiped is made up of 3 pairs of congruent parallelograms. The base parallelogram has an area of 8. The height of the parallelepiped is 4. What is its volume?

What is the relationship between pressure and volume?

The general relationship between pressure and volume is an inversely proportional one. This means that if everything else remains the same, when the volume increases the pressure decreases and vice versa. You can see this by evaluating the ideal gas equation: