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Calculating volume of a triangular prism?

To calculate the volume of a triangular prism, use the formula ( V = B \times h ), where ( V ) is the volume, ( B ) is the area of the triangular base, and ( h ) is the height (length) of the prism. First, find the area of the triangular base using the formula ( B = \frac{1}{2} \times \text{base} \times \text{height of the triangle} ). Multiply this area by the prism's height to obtain the total volume. This gives you the three-dimensional space the prism occupies.


How is the area of a triangle related to the volume of a triangular prism?

The volume of a triangular prism can be calculated using the formula ( V = A_b \times h ), where ( A_b ) is the area of the triangular base and ( h ) is the height (or length) of the prism. The area of the triangular base is determined by the formula ( A_b = \frac{1}{2} \times b \times h_b ), where ( b ) is the base length and ( h_b ) is the height of the triangle. Thus, the volume of the prism directly depends on the area of the triangle, as it serves as the foundational measurement multiplied by the prism's height.


How do you figure volume of a right triangle prism?

To calculate the volume of a right triangular prism, first determine the area of the triangular base using the formula ( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} ) of the triangle. Then, multiply the area of the triangle by the prism's height (the length perpendicular to the base) using the formula ( \text{Volume} = \text{Area of base} \times \text{height of prism} ). This will give you the volume of the prism.


What is the formula to find the volume of the right triangular prism?

The volume ( V ) of a right triangular prism can be calculated using the formula ( V = B \cdot h ), where ( B ) is the area of the triangular base and ( h ) is the height (or length) of the prism. The area ( B ) of the triangular base can be found using ( B = \frac{1}{2} \times b \times h_t ), where ( b ) is the base length of the triangle and ( h_t ) is the height of the triangle. Thus, the complete formula for the volume becomes ( V = \frac{1}{2} \times b \times h_t \times h ).


What is the height of the triangular prism below if the volume equals 1638 cubic millimeters 65 mm 63 mm 26 mm 28 mm?

To find the height of the triangular prism, we need to use the formula for the volume of a prism: ( V = \text{Base Area} \times \text{Height} ). First, we determine the area of the triangular base using the formula for the area of a triangle: ( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} ). Given the dimensions, the base area can be calculated, and then rearranging the volume formula allows us to solve for the height of the prism, ultimately yielding a height of approximately 28 mm.

Related Questions

Is half the base times height times the depth the formula for volume of a triangular prism?

Yes.Yes.Yes.Yes.


Calculating volume of a triangular prism?

To calculate the volume of a triangular prism, use the formula ( V = B \times h ), where ( V ) is the volume, ( B ) is the area of the triangular base, and ( h ) is the height (length) of the prism. First, find the area of the triangular base using the formula ( B = \frac{1}{2} \times \text{base} \times \text{height of the triangle} ). Multiply this area by the prism's height to obtain the total volume. This gives you the three-dimensional space the prism occupies.


Is the formula for finding area of a triangular prism base times height divided by 2?

yes.


What is the formula for finding the volume of a right triangular prism?

Base times height divided by two times length


How is the area of a triangle related to the volume of a triangular prism?

The volume of a triangular prism can be calculated using the formula ( V = A_b \times h ), where ( A_b ) is the area of the triangular base and ( h ) is the height (or length) of the prism. The area of the triangular base is determined by the formula ( A_b = \frac{1}{2} \times b \times h_b ), where ( b ) is the base length and ( h_b ) is the height of the triangle. Thus, the volume of the prism directly depends on the area of the triangle, as it serves as the foundational measurement multiplied by the prism's height.


How do you figure volume of a right triangle prism?

To calculate the volume of a right triangular prism, first determine the area of the triangular base using the formula ( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} ) of the triangle. Then, multiply the area of the triangle by the prism's height (the length perpendicular to the base) using the formula ( \text{Volume} = \text{Area of base} \times \text{height of prism} ). This will give you the volume of the prism.


What is the formula for Volume of rectangular and triangular prism?

for both of them its... volume=length times width time height and its always cubed.


What is the formula to find the volume of the right triangular prism?

The volume ( V ) of a right triangular prism can be calculated using the formula ( V = B \cdot h ), where ( B ) is the area of the triangular base and ( h ) is the height (or length) of the prism. The area ( B ) of the triangular base can be found using ( B = \frac{1}{2} \times b \times h_t ), where ( b ) is the base length of the triangle and ( h_t ) is the height of the triangle. Thus, the complete formula for the volume becomes ( V = \frac{1}{2} \times b \times h_t \times h ).


What is the height of the triangular prism below if the volume equals 1638 cubic millimeters 65 mm 63 mm 26 mm 28 mm?

To find the height of the triangular prism, we need to use the formula for the volume of a prism: ( V = \text{Base Area} \times \text{Height} ). First, we determine the area of the triangular base using the formula for the area of a triangle: ( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} ). Given the dimensions, the base area can be calculated, and then rearranging the volume formula allows us to solve for the height of the prism, ultimately yielding a height of approximately 28 mm.


What is the volume of a triangular prism?

One half base times height (of the triangular section) times length.


Which equation can be used to find the volume of this triangular prism?

To find the volume of a triangular prism, you can use the equation ( V = B \times h ), where ( V ) is the volume, ( B ) is the area of the triangular base, and ( h ) is the height of the prism (the distance between the triangular bases). The area of the triangular base can be calculated using the formula ( B = \frac{1}{2} \times b \times h_t ), where ( b ) is the base length of the triangle and ( h_t ) is the height of the triangle. Thus, the complete formula becomes ( V = \left(\frac{1}{2} \times b \times h_t\right) \times h ).


How do U find the volume of a triangular prism?

One half base times height of the triangle times length of the prism.