Example 1
- Base area: 24
- Height: 10
240.00
base area 24 and h = 10 gives 240.00.
Prism volume calculator
Type a ready base area and the height between the bases. The calculator multiplies base area by h and shows volume in cm³ or in³.
V = base area × h. A cube is on the cube volume calculator. A pyramid is on the pyramid volume calculator.
Result
Base area (cm²) and Height h (cm). Volume shows up here.
How it works
Prism volume is base area times the height between the bases. The first card example, 24 and 10, is 240.00. A pyramid with the same numbers would divide by three and give 80. This page does not divide. Base area is not an edge: side 24 on a square is area 576, not 24.
A cube of edge 6 has volume 216. This calculator gives 216 only when you type base area 36 and h = 6, not when you type 6 and 6. A cylinder inserts π itself. There is no π here: turn a circle into base area on the circle page, then paste it here. A thin slab 100 and 2 gives 200.00.
The calculator does not run when area or height is missing. Switching to inches relabels the result as in³ and does not convert a typed 24.
Height is perpendicular between the bases, not a slanted lateral edge. The base can be a triangle, a hexagon, anything: the calculator asks for area, not a shape.
At 36 and 5 you get 180.00. At 12 and 12 you get 144.00. At 8 and 8 you get 64.00. At 15 and 6 you get 90.00. That is still base area times h, not a³ and not one third of a pyramid. V: Volume.
24 × 10 = 240.00. 36 and 5 give 180.00. One third of this formula is on the pyramid page. Prism volume is in cm³ when the edges are cm.
How to use
- Find the base area on the triangle, rectangle, or another flat page.
- Type that area as base area in cm² or in² from the unit-switch label.
- Type prism height h in cm or inches, the distance between the bases.
- Click Calculate. The result uses two decimal places and cm³ or in³.
- The 24 and 10 example is 240.00. That is not 80 from a pyramid ⅓×24×10 and not 1000 from a cube 10³.
Formula
V = base area × h
Not a³ and not ⅓ base area h.
V = base area × h at 24 and 10
Ready base area times height. Base area 24 and h = 10 give 240.00. Not a cubed edge and not one third of that product.
- V
- Volume. 24 × 10 = 240.00. 36 and 5 give 180.00. One third of this formula is on the pyramid page.
- h
- Height between the bases. 10 with base area 24 is 240.00. A blank h does not run.
- cm³
- The result unit with the metric switch. 24 and 10 print 240.00 cm³, not an edge cubed.
Examples
Example 2
- Base area: 36
- Height: 5
180.00
base area 36 and h = 5 gives 180.00.
Example 3
- Base area: 12
- Height: 12
144.00
base area 12 and h = 12 gives 144.00.
Example 4
- Base area: 50
- Height: 4
200.00
base area 50 and h = 4 gives 200.00.
Example 5
- Base area: 8
- Height: 8
64.00
base area 8 and h = 8 gives 64.00.
Example 6
- Base area: 100
- Height: 2
200.00
base area 100 and h = 2 gives 200.00.
Example 7
- Base area: 15
- Height: 6
90.00
base area 15 and h = 6 gives 90.00.
Example 8
- Base area: 20
- Height: 9
180.00
base area 20 and h = 9 gives 180.00.
Frequently asked questions
Is this a cube a³?
No. A cube takes one edge. Here you type area and height. 10³ = 1000 on the cube page. 24 and 10 here is 240.00.
Why do 24 and 10 give 240, not 80?
Because there is no one third. A pyramid 24 times 10 / 3 is 80. The prism keeps 240.00.
Should I type side 24 instead of area?
No. Base area is cm². Side 24 on a square is area 576. Typing 24 as area at h = 10 gives 240 only when 24 is already an area.
What if I leave h empty?
Nothing is computed. Type height or load 24 and 10. Empty h does not become a slab of volume equal to the area.
Is cylinder πr²h here?
No. π does not enter. Turn a circle into base area on the circle card, then paste it here.
Can I mix centimeters and inches?
Not in one run. Base area in cm² when h is in cm, or in² when h is in inches. The switch changes the label and does not scale numbers.
Must the base be a rectangle?
No. A triangle, a hexagon, anything. The calculator does not ask for a shape. It asks for area.
Why do 100 and 2 give 200.00?
To show a slab. The product 200 is legal. The formula does not need h close to a side, which is not even an input.
Is a slanted lateral edge h?
No. h sits between the bases and is perpendicular to them. A slanted edge is longer and spoils 240.00.
Do 36 and 6 give cube 216?
Yes, if 36 really is the area of a square of side 6. Typing 6 and 6 gives only 36, not 216.
Knowledge sources
The calculator computes the same formula as the definition below.
Page updated in 2026.