A manufacturer uses a mold to make a part in the shape of a triangular prism. The dimensions of the part are shown below.
10.77mm
6.5mm
1.6mm
12.6mm
6.5mm
Which ESTIMATE is closest to the volume in cubic millimeters of the part?
108
217
400 ***
880
Thank you for viewing my question please correct it if it is wrong.
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Bruh i just need the answers
i put 217
To estimate the volume of the triangular prism, we need to multiply the area of the triangular base by the height of the prism. The formula to calculate the area of a triangle is (base * height) / 2.
First, let's calculate the area of the base. The dimensions given are 10.77mm, 6.5mm, and 1.6mm, which represent the sides of the triangle. However, we need to identify the base and height of the triangle. Since we are given three sides, we can assume that 10.77mm and 6.5mm are the base and height, respectively.
Area of the triangular base = (10.77mm * 6.5mm) / 2
Next, we need to calculate the volume of the prism by multiplying the area of the base by the height of the prism. The height of the prism is given as 12.6mm.
Volume of the prism = Area of the triangular base * Height of the prism
Now, let's calculate the estimated volume using the given dimensions:
Volume of the prism = (10.77mm * 6.5mm / 2) * 12.6mm
Calculating this expression, we have:
Volume of the prism = 88.065mm^3
Since the volume is in cubic millimeters (mm^3), the closest estimation to 88.065mm^3 from the given options is 87. Therefore, the correct estimate is 400.
I do not know what your many numbers correspond to
try
https://www.wikihow.com/Calculate-the-Volume-of-a-Triangular-Prism