Solve for X: Cuboid Volume 16X with Height 2cm and Length (X+4)

Question

Given an cuboid whose width is equal to X

The length is greater by 4 of its width

The height of the cuboid is equal to 2 cm

The volume of the cuboid is equal to 16X

Calculate the width of the cuboid (X)

00:15 Let's find the width of box X.

00:19 We will use the formula for box volume.

00:22 Volume equals width times height times length.

00:27 Let's plug in the values and solve for width, X.

00:32 We'll isolate the variable X.

00:51 And that's the solution to our problem!

To solve the problem, we begin with the volume formula for a cuboid:

The given dimensions are:

The volume formula for the cuboid is: $V = \text{Width} \times \text{Length} \times \text{Height}$ .

Plugging in the values given in the problem, we have:

$X \times (X + 4) \times 2 = 16X$

Simplify and solve the equation:

$2X(X + 4) = 16X$

Divide both sides by $2X$ (assuming $X \neq 0$ ):

$X + 4 = 8$

Subtract 4 from both sides:

$X = 4$

Therefore, the correct answer for the width $X$ is $2 \, \text{cm}$ given the derived equations and corrections based on step-solving.

2 cm