Calculate Width X in a Cuboid: Given Volume 90, Height 5, Length 3

Question

It is known that the volume of the cuboid is 90, the height of the cuboid is 5 and its length is equal to 3

Based on the data, find X

00:00 Find X

00:03 Use the formula for calculating box volume

00:06 height times length times width

00:11 Substitute appropriate values and solve for side X

00:18 Isolate side X

00:21 And this is the solution to the question

To solve this problem, let's determine the missing dimension $X$ by applying the formula for the volume of a cuboid:

Step 1: Identify given values: Volume $V = 90$ , Height $H = 5$ , Length $L = 3$ .
Step 2: Use the volume formula: $V = L \times W \times H$ .
Step 3: Substitute the known values: $90 = 3 \times X \times 5$ .
Step 4: Simplify and solve for $X$ . First, calculate $3 \times 5$ , which is $15$ .
Step 5: Rearrange the equation: $90 = 15 \times X$ .
Step 6: Solve for $X$ by dividing both sides by 15: $X = \frac{90}{15}$ .
Step 7: Calculate to find $X = 6$ .

Thus, the missing width $X$ of the cuboid is $6$ .

$6$