The storage space in a moving truck is shaped like a rectangular prism. It has a total volume of 16 cubic meters. The height and width are both 2 meters less than the depth. What are the dimensions of the storage space?​

The dimensions are four by two by two meters.

Step-by-step explanation:

The volume for a rectangular prism is given by:

Where l is the length (or depth), w is the width, and h is the height.

Since the height and width are both two meters less than the depth, we can write that:

We are also given that the total volume is 16 cubic meters. Substitute:

Expand:

Distribute:

Isolate the equation. So:

We can factor by grouping. From the first two terms, factor out a l² and from the last two terms, factor out a 4:

Factor:

Zero Product Property:

Solve for each case:

Since we cannot take the square root of a negative number, we can ignore the first case.

Therefore, the length (or depth) of the storage space is four meters.

Thus, the dimensions are four by two by two meters.

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step-by-step explanation:

.6 is 1/2 of 12

the answer is actually d. i just took the test

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step-by-step explanation

2r= 2300

r =1150