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pychu [463]
3 years ago
15

Solve for the red variable

Mathematics
1 answer:
pishuonlain [190]3 years ago
3 0

Answer:

1/3 Bh = V

Step-by-step explanation:

B = 3 V / h

Multiply each side by h

Bh = 3 V / h *h

Bh = 3V

Divide each side by 3

1/3 Bh = 3V/3

1/3 Bh = V

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A triangular prism has an equilateral base with side length x inches. The height of the prism is four times as long as the side
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The area of the prism is 12x² inches². Thus, the correct option is B.

<h3>What is a triangular prism?</h3>

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

For a prism, the lateral sides of a prism are made up of rectangles which consist of the height and the length of the base. Therefore, a triangular prism has an equilateral base with a side length x inches. The height of the prism is four times as long as the side length. The lateral area will be,

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Hence, the area of the prism is 12x² inches². Thus, the correct option is B.

Learn more about the Lateral surface area of triangular prisms:

brainly.com/question/15434771

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