A three-dimensional solid with two parallel bases is called a prism.The shape of the base determines the type of prism you have.Sometimes you will need to find the height of a prism, because it is a 3D shape.If you have enough information about the base, you can find the height.If you know the formula for finding the area of the shape, the formulas can work for any shape.
Step 1: The formula for the volume of a prism should be set up.
The area of one base and the volume of the prism can be found using the formula V=Ahdisplaystyle V.One of the congruent sides is the base.If you are consistent in your calculations, any side can be used as the base.
Step 2: Put the volume into the formula.
The method cannot be used if you don't know the volume.If you know the volume of the prism, then your formula will look like this.
Step 3: You can find the area of the base.
You need to know the length and width of the base to find it.The formula A is used.To find the area of a square.To find the area if the base is a rectangular with a length of 8 meters and a width of 2 meters, you have to use the displaystyle A.
Step 4: The volume of a formula can be plugged into the area of the base.
You need to make sure you are substituting for the variable.If you find the area of the base to be 16 square meters, your formula will look like this.
Step 5: There is an equation for displaystyle h.
This will tell you the height of your pole.You would need to divide the equation into 16 parts to find h.
Step 6: The formula for the volume of a prism needs to be set up.
The area of one base and the volume of a prism can be found by using a formula.One of the congruent sides is the base.A triangle is the base of a triangular prism.The sides will be square.
Step 7: The volume should be plugged into the formula.
The method cannot be used if you don't know the volume.If you know the volume of the prism, your formula will look like this.
Step 8: You can find the area of the base.
To find the area, you need to know the length and height of the triangle.To find the area of a triangle, use the formula A=12(b)(h)displaystyle A.If you know the length of all three sides of a triangle, you can find it using a formula.For complete instructions, calculate the area of a triangle.If the base of the triangle is 12 meters and the height is 7 meters, you can calculate the area.
Step 9: The volume of a formula should be plugged into the area of the base.
You need to make sure you are substituting for the variable.If you found the area of the base to be 42 square meters, then your formula will look like this.
Step 10: Find the equation for displaystyle h.
This will tell you the height of your pole.You would need to divide each side by 42 to find h.
Step 11: The formula for the surface area should be set.
The formula for the surface area of a prism is SA=2B+Ph, where SAdisplaystyle SA is the area where the base is located.In order for this method to work, you need to know the surface area and length of the base.
Step 12: The formula should be plugged into the surface area.
The method will not work if you don't know the surface area.If you know the surface area is 1460 square centimeters, then your formula will look like this.
Step 13: The base has an area.
You need to know the length and width of the base to find it.The formula A is used.To find the area of a circle.To find the area if the base is a rectangular with a length of 8 centimeters and a width of 2 centimeters, you have to use the displaystyle A.
Step 14: Plug the area of the base into the formula and simplify.
If you are substituting for the letter B, make sure you do it correctly.If you found the area of the base to be 16, your formula will look like this.
Step 15: The base has a perimeter.
If you want to find the perimeter of a square, add up the lengths of all four sides or the length of one side by 4.The opposite sides of a rectangle are the same length.To find the perimeter of a base with a length of 8 centimeters and a width of 2 centimeters, you would use the displaystyle P.
Step 16: Plug the perimeter of the base into the formula.
If you are substituting for the letter P, make sure you do it correctly.If you found the perimeter of the base to be 20, your formula will look like this.
Step 17: Find the equation for displaystyle h.
This will tell you the height of your pole.If your equation is 1460, you need to subtract 32 from each side and divide it by 20.There is a displaystyle of 1460 that is called the "32+20h1428=20h" style.
Step 18: The formula for the surface area should be set.
The formula for the surface area of any prism is SA=2B+Ph, where SAdisplaystyle SA is the area where the base is located, B displaysstyle B and P shows the perimeter.In order for this method to work, you need to know the surface area of the prism, the triangular base, and the length of all three sides.
Step 19: The formula should be plugged into the surface area.
The method will not work if you don't know the surface area.If you know the surface area is 1460 square centimeters, then your formula will look like this.
Step 20: You can find the area of the base.
To find the area, you need to know the height and length of the triangle.The formula A=12(b)(h)displaystyle A is used.To find the area of a triangle.If you know the length of all three sides of a triangle, you can find it using a formula.To get complete instructions, calculate the area of a triangle.If the base of the triangle is 8 centimeters and the height is 4 centimeters, you can find the area.
Step 21: Plug the area of the base into the formula and simplify.
If you are substituting for the letter B, make sure you do it correctly.If you find the area of the base to be 16, your formula will look like this.
Step 22: The base has a perimeter.
Add up the length of all three sides to find the perimeter of a triangle.If the base is a triangle with three sides with lengths of 8, 4, and 9 centimeters, you can find the perimeter.
Step 23: Plug the perimeter of the base into the formula.
If you are substituting for the letter P, make sure you do it in style.If you found the perimeter of the base to be 21, your formula will look like this.
Step 24: Find the equation for displaystyle h.
This will give you the height of your object.If your equation is 1460, you need to subtract 32 from each side and divide them by 21.1460 is a display style of 21h.