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Mathematics

Grade9

Easy

Question

Calculate the volume of the following triangular pyramid.

3400 cubic in
566.67 cubic in
1133.33 cubic in
1700 cubic in

hint Hint:

The volume of a triangular pyramid(prism) is given by $1 third cross times a r e a space o f space t h e space b a s e space x space h e i g h t space o f space t h e space p y r a m i d$

The correct answer is: 566.67 cubic in

Area of the base triangle is $fraction numerator 1 over denominator 2 end fraction cross times b cross times h$
$equals fraction numerator 1 over denominator 2 end fraction cross times 17 cross times 10$
= 85 in²
Volume of the pyramid = $fraction numerator 1 over denominator 3 end fraction cross times 85 cross times 20$
= 566.67 cubic in

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