Its volume is the product of the area of the hexagonal base and the height of the prism. Volume of a hexagonal prismĪ hexagonal prism has both a hexagonal top and base. Thus, The area of the base ( area of trapezoid) 1 2(b1 +b2)×h 1 2 ( b 1 + b 2) × h. V o l u m e t r a p e z o i d a l p r i s m = A r e a t r a p e z i u m × h e i g h t p r i s m = 39 × 3 = 117 c m 3. We know that the base of a trapezoidal prism is a trapezium/ trapezoid. Complete step by step answer: We have to write the formula for trapezoidal volume. Then, the volume of the trapezoidal prism will be the base area multiplied by length. The area of the trapezium can be calculated using the formula,Ī = 1 2 × h t × ( t b t r a p e z i u m + d b t r a p e z i u m ) = 1 2 × 6 × ( 5 + 8 ) = 3 × 13 = 39 c m 2įinally, the volume of the trapezoidal prism is In order to find the volume, we have to consider a 3 dimensional trapezoidal prism. Also, we have to be careful while finding the area as different shapes have different formulas. Note: While finding the area and volume of the prism we must keep in mind that the formula is applied properly and without any flaws so that mistakes are avoided. The two most basic equations are: volume 0.5 b h length, where b is the length of the base of the triangle, h is the height of the triangle, and length is prism length. V o l u m e t r a p e z o i d a l p r i s m = A r e a t r a p e z i u m × h e i g h t p r i s m Therefore, the volume of a trapezoidal prism is Math Processing Error ( a + b) h l 2. Usually, what you need to calculate are the triangular prism volume and its surface area. Thus, the volume of the trapezoidal prism is given by, The calculator will automatically calculate the volume of the prism. To use the calculator: Enter the area of the base of the prism. Thats true even when a prism is on its side or when it tilts (an oblique prism). We first write out the known values, top breadth length is 5 cm, down breadth length is 8 cm, the height of trapezium is 6 cm, and the height of the prism is 3 cm. Our prism volume calculator is designed to make it easy for you to find the volume of any prism. Volume prism ( base area) ( height) We always measure the height of a prism perpendicularly to the plane of its base. If the depth of the box is 3 cm, find the volume of the sandwich. A sandwich box is a prism with the base of a trapezium breadths 5 cm and 8 cm with a height of 6 cm.
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