High School





Find the volume of the triangular pyramid to the nearest whole number.

A) 679 in3

B) 906 in3

C) 1,359 in3

D) 2,717 in3

Find the volume of the triangular pyramid to the nearest whole number A 679 in3 B 906 in3 C 1 359 in3 D 2 717

Answer :

Answer:

B) 906 cubic inches.

Step-by-step explanation:

The volume of a triangular pyramid is defined as

[tex]V=\frac{1}{3}(\frac{1}{2}b_{1} h_{1} )h_{2}[/tex]

Where,

[tex]b_{1}=19in\\h_{1}=13in\\h_{2}=22in[/tex]

Replacing all given values in the formula, we have

[tex]V=\frac{1}{6}(19in)(13in)(22in) \\V=\frac{5,434}{6}in^{3} \\V \approx 906 in^{3}[/tex]

Therefore, the right answer is B.

The answer is B. the answer as a decimal is 905.67 round to the nearest whole number you will get 906