Find the volume of each triangular prism using the given dimensions in the worksheet.

Let’s solve each problem one by one.
The volume of a triangular prism is calculated using this formula:

Volume = (Area of the triangular base) × (Length of the prism)

And the area of a triangle is:

Area = ½ × base × height

So, for each problem, we’ll:
1. Find the area of the triangle (using base and height given).
2. Multiply that by the length (the side that goes “into” the page — the depth or length of the prism).

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Problem 1:
Triangle base = 10 in, height = 14 in → Area = ½ × 10 × 14 = 70 in²
Prism length = 19 in
Volume = 70 × 19 = 1330 in³

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Problem 2:
Triangle base = 18 ft, height = 17 ft → Area = ½ × 18 × 17 = 153 ft²
Prism length = 5 ft
Volume = 153 × 5 = 765 ft³

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Problem 3:
Triangle base = 11 yd, height = 6 yd → Area = ½ × 11 × 6 = 33 yd²
Prism length = 8 yd
Volume = 33 × 8 = 264 yd³

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Problem 4:
Triangle base = 7 ft, height = 5 ft → Area = ½ × 7 × 5 = 17.5 ft²
Prism length = 9 ft
Volume = 17.5 × 9 = 157.5 ft³

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Problem 5:
This is a right triangle! Base = 10 yd, height = 7 yd → Area = ½ × 10 × 7 = 35 yd²
Prism length = 4 yd
Volume = 35 × 4 = 140 yd³

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Problem 6:
Right triangle again! Base = 5 in, height = 9 in → Area = ½ × 5 × 9 = 22.5 in²
Prism length = 11 in
Volume = 22.5 × 11 = 247.5 in³

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Problem 7:
Triangle base = 19 yd, height = 8 yd → Area = ½ × 19 × 8 = 76 yd²
Prism length = 4 yd
Volume = 76 × 4 = 304 yd³

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Problem 8:
Right triangle! Base = 11 in, height = 12 in → Area = ½ × 11 × 12 = 66 in²
Prism length = 14 in
Volume = 66 × 14 = 924 in³

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Problem 9:
Triangle base = 13 ft, height = 16 ft → Area = ½ × 13 × 16 = 104 ft²
Prism length = 20 ft
Volume = 104 × 20 = 2080 ft³

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Final Answer:
1) 1330 in³
2) 765 ft³
3) 264 yd³
4) 157.5 ft³
5) 140 yd³
6) 247.5 in³
7) 304 yd³
8) 924 in³
9) 2080 ft³