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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?
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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Find the volume of the following triangular prism.
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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Find the volume of the following triangular prism.
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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Find the volume of the following triangular prism:
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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What is the volume?
The volume is calculated using the equation:
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