# What is the formula for the volume of a trapezoidal prism?

Space and AstronomyFormula for Volume of a Trapezoidal Prism. If the prism length is L,trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: **V(L, B, A, H) = LH(A + B)/2**. In other words, multiply together the length, height, and average of A and B.

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## What is the volume of a trapezoidal prism?

The volume of a trapezoidal prism is **the product of the area of the base to the height of the prism cubic units**. The formula for the volume of the trapezoidal prism is the area of base × height of the prism.

## What is the formula for a trapezoidal?

The formula that is used to find the area of a trapezoid is expressed as, **Area of trapezoid = ½ (a + b) h**; where a’ and ‘b’ are the bases (parallel sides) and ‘h’ is the height of the trapezoid.

## How do you find a trapezoidal prism?

Video quote: *So to find the area of a trapezoid we know that's one-half times base 1 plus base 2 times height.*

## How do you find the surface area and volume of a trapezoidal prism?

The surface area of a trapezoidal prism can be given with this formula: **(b1+b2)h + PH**. In this formula, “b1” and “b2” stand for the length of the bases of the trapezoid. The height of the trapezoid is “h”. The perimeter of the trapezoid is “P”, and “H” is the height of the prism.

## How do you find the volume of a trapezoidal pyramid?

Volume of a pyramid = **1/3 x base area x height**.

## What is the formula for the volume of the prism?

V=Bh

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. The length of the rectangle is 9 cm and the width is 7 cm. The area A of a rectangle with length l and width w is A=lw .

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