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# How to find the volume of a triangle?

The dimensions are height 3.5 cm, length 20 cm, and width 7.5 cm. Anything helps, thank you!!

### 7 Answers

- PinkgreenLv 71 month ago
Consider the solid as a triangular prism.

The volume V=the area of the base triangle* its height

Here its height=the width of the solid (7.5 cm).

Let h cm be the height of the triangle (i.e. the length of the dotted line),

h=sqr(20^2-3.5^2)=19.69136867 cm

The area of the base triangle=3.5*19.69136867/2=34.45989517 cm^2

V=34.45989517*7.5=258.4492138~258.45 cm^3

- billrussell42Lv 71 month ago
triangles have area, not volume. and the dimensions of the triangle is not stated. The width appears to be the width of the rectangle.

IF that angle is a right angle, then the area = (1/2)(20)(3.5) cm² = 35 cm²

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- MorningfoxLv 71 month ago
The diagram looks like a triangular wedge, not a triangle. If it was a 3D solid rectangle, the volume would be 3.5 * 20 * 7.5. Since it is a wedge, the volume is half of that.

- KrishnamurthyLv 71 month ago
Volume = base area × 1/3 height.

= (3.5 cm x 7.5 cm x 20/3 cm)

= 175 cm^3

- RobertLv 71 month ago
Well, what can I say: first, triangles

don't have volume, they're 2-dimensional.

The figure you're showing only part of looks

like a rectangular prism. Finally, you can't

see what the dotted line means.