Considering the definition of right rectangular prism and its volume, the total weight of the contents is 38.81 pounds.
<h3>Right rectangular prism</h3>
A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.
<h3>Volume of right rectangular prism</h3>
To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.
That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.
<h3>Volume of the container </h3>
In this case, you know that:
- the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.
- the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.
So, the volume of the container is calculated as:
7.5 ft× 11.5 ft× 3 ft= <u><em>258.75 ft³</em></u>
Then, the total weight of the contents is calculated as:
258.75 ft³× 0.15 pounds per cubic foot= <u><em>38.8125 pounds≅ 38.81 pounds</em></u>
Finally, the total weight of the contents is 38.81 pounds.
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</h2><h2>~</h2><h3>To solve for 'X', isolate the variable 'x' by dividing each side by factors that don't contain the variable 'x'.</h3><h3>Exact Form:</h3><h3>x = 2/3</h3><h2>~</h2>