For this question, if the answer is not a whole number, enter it as a fraction using / as the fraction bar.

Rajek, a truck driver, hauls containers for his customers. One customer wants to know the total amount of cardboard that can fit in a container at one time. The truck Rajek uses is shown below.



The base of the container has an area of 50 1/4 square feet.

Answer:

226 1/8

Step-by-step explanation:

Substitute the measurements of the container into the formula.

The amount of cardboard Rajek can fit in the container at one time is  cubic feet.

The total surface area of the container is 9L + 9W + 50 1/4

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

To find the total amount of cardboard that can fit in the container at one time, we need to find the surface area of the container.

The container has a rectangular base with an area of 50 1/4 square feet.

Let's assume the length of the base is L and the width is W.

We know that:

L x W = 50 1/4

We also know that the height of the container is 4(1/2) feet, which is equivalent to 9/2 feet.

The container has two identical sides, which are rectangles with a length of L and a height of 9/2 feet.

The surface area of one side is:

L x (9/2) = (9/2)L

The container also has two identical ends, which are rectangles with a width of W and a height of 9/2 feet.

The surface area of one end is:

W x (9/2) = (9/2)W

Finally, the container has a top, which is a rectangle with a length of L and a width of W.

The surface area of the top is:

L x W

To find the total surface area of the container, we add up the surface area of each of these parts:

Total surface area = 2(L x (9/2)) + 2(W x (9/2)) + (L x W)

Simplifying this expression, we get:

Total surface area = 9L + 9W + LW

We know that L x W = 50 1/4, so we can substitute this into the equation:

Thus,

The total surface area of the container is 9L + 9W + 50 1/4

Learn more about rectangles here:

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