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Find the volume of the triangular prism. Round to 1 decimal place

Find the volume of the triangular prism. Round to 1 decimal place-example-1

2 Answers

7 votes

Answer:

579.1 cm^3

Explanation:

User Yoraco Gonzales
by
5.0k points
1 vote

Answer:

=579.1 cm^3

Explanation:

V = Bh

We need to find the area of the base

The base is the triangle

B = 1/2 bh

We can find the length of the bottom by using the Pythagorean theorem

a^2 + b^2 = c^2

9^2 + b^2 = 14^2

b^2 = 14^2 - 9^2

b^2 = 115

Taking the square root

b = sqrt(115)

B = 1/2 bh

=1/2 sqrt(115) *9

B =48.25712383

V = Bh

V = 48.25712383 * 12

=579.0854859

To the nearest tenth

=579.1 cm^3

User Alee
by
4.8k points