Find X in a Cuboid: Volume 90, Height 5, Depth 3

Question

Look at the cuboid in the figure:

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The volume of the cuboid is equal to 90.

What is the value of X?

Video Solution

Step-by-Step Solution

To find the value of X X , we begin by using the formula for the volume of a cuboid, which is given by V=height×depth×width V = \text{height} \times \text{depth} \times \text{width} .

In this problem, the volume V V is 90 cubic units, the height is 5 units, and the depth is 3 units. We need to find the width X X . So, we write the equation:

90=5×3×X 90 = 5 \times 3 \times X

Simplify the equation:

90=15×X 90 = 15 \times X

To solve for X X , divide both sides of the equation by 15:

X=9015 X = \frac{90}{15}

Calculating the right-hand side, we find:

X=6 X = 6

Thus, the width of the cuboid, X X , is 6 units.

The correct answer to the multiple-choice question is choice 4: 6.

Answer

6