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attashe74 [19]
3 years ago
12

What is the volume of the following triangular prism?

Mathematics
1 answer:
Eva8 [605]3 years ago
4 0

Answer:

V=150cm^3

Step-by-step explanation:

First we need to find area of the triangle with a base of 4 cm and a height of 5cm, and then multiply that by the length of the prism of 15cm.

The area of the triangle is given by the  formula:

A_T=\frac{bh}{2}

where b is the base: b=4cm and h is the height: h=5cm

thus, in this case we have:

A_T=\frac{(4cm)(5cm)}{2}\\ \\A_T=\frac{20cm^2}{2} \\\\A_T=10cm^2

And now, the volume will be the area of the triangle multiplied by the length l=15cm of the prism:

V=A_T*l

Substituting the known values:

V=10cm^2*15cm\\V=150cm^3

The volume in cubic centimeters is 150.

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