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2 years ago

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Mathematics

2 answers:

ryzh [129]2 years ago

8 0

Answer:

$\boxed {\boxed {\sf v=2142 \ in^3}}$

Step-by-step explanation:

The volume of a triangular prism can be found by multiplying the area of the base by the height.

$v=B*h$

The area of a triangle can be found by multiplying the base, height, and 1/2. In this problem, the base and height are width and length.

$B= \frac{1}{2} *w*l$

Substitute this formula in for B.

$v= (\frac{1}{2} *w*l)*h$

We know that the width is 17 inches, the length is 12 inches, and the height is 21 inches. Substitute the values in.

$w= 17 \ in \\l= 12 \ in \\h= 21 \ in$

$v= (\frac{1}{2}* 17 \ in * 12 \ in ) * 21 \ in$

Solve inside the parentheses first. Multiply 17 and 12.

$v=(\frac{1}{2}*204 \ in^2) * 21 \ in$

Finish solving the parentheses by multiplying by 1/2 or dividing by 2.

$v=102 \ in ^2 * 21 \ in$

Multiply.

$v=2142 \ in^3$

The volume of the triangular prism is <u>2,142 cubic inches.</u>

11Alexandr11 [23.1K]2 years ago

6 0

Answer:

V = 0.5wlh = 0.5(17)(12)(21) = 2142in³.

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