How to find the volume of a prism - High School Math

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Question

A rectangular box has two sides with the following lengths:

and

If it possesses a volume of , what is the area of its largest side?

Answer

The volume of a rectangular prism is found using the following formula:

If we substitute our known values, then we can solve for the missing side.

Divide both sides of the equation by 12.

We now know that the missing length equals 7 centimeters.

This means that the box can have sides with the following dimensions: 3cm by 4cm; 7cm by 3cm; or 7cm by 4cm. The greatest area of one side belongs to the one that is 7cm by 4cm.

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Question

Find the volume of the following triangular prism.

Half_box

Answer

The formula for the volume of a triangular prism is:

Where is the length of the triangle, is the width of the triangle, and is the height of the prism

Plugging in our values, we get:

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Question

Find the volume of the following triangular prism.

Half_box

Answer

The formula for the volume of a triangular prism is:

Where is the length of the base, is the width of the base, and is the height of the prism

Plugging in our values, we get:

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Question

Find the volume of the following triangular prism:

Triangular_prism

Answer

The formula for the volume of an equilateral, triangular prism is:

Where is the length of the triangle side and is the length of the height.

Plugging in our values, we get:

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Question

What is the volume?

Question_5

Answer

The volume is calculated using the equation:

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