Find the volume of the triangular prism described below.
The base is a 45degrees-45degrees-90degrees triangle with a leg of 9 in. The height is 4.7 in.
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Part 1
The volume of the prism is
enter your response here in cubed . (Type an integer or a decimal.)
5 answers
The volume of the triangular prism is 126.45 in^3.
that answer is wrong
Apologies for the error. Let's re-calculate the volume of the triangular prism.
The base of the prism is a 45°-45°-90° triangle with a leg of 9 inches. In a 45°-45°-90° triangle, the hypotenuse is √2 times the length of one of the legs. Therefore, the hypotenuse of the base triangle is 9√2 inches.
To find the area of the base triangle:
Area = 0.5 * base * height
= 0.5 * 9 * 9
= 40.5 square inches
Now, to find the volume of the prism:
Volume = base area * height of the prism
= 40.5 * 4.7
= 190.35 cubic inches
Therefore, the correct volume of the triangular prism is 190.35 cubic inches.
The base of the prism is a 45°-45°-90° triangle with a leg of 9 inches. In a 45°-45°-90° triangle, the hypotenuse is √2 times the length of one of the legs. Therefore, the hypotenuse of the base triangle is 9√2 inches.
To find the area of the base triangle:
Area = 0.5 * base * height
= 0.5 * 9 * 9
= 40.5 square inches
Now, to find the volume of the prism:
Volume = base area * height of the prism
= 40.5 * 4.7
= 190.35 cubic inches
Therefore, the correct volume of the triangular prism is 190.35 cubic inches.
now you are correct
I'm glad the correct calculation was provided. If you have any more questions or need further assistance, feel free to ask!