Volume of Obtuse Edged Cuboid given Inner Width and Cut Width Formula

GoVolume of Obtuse Edged Cuboid Formula

GoVolume of Obtuse Edged Cuboid given Inner Length and Cut Width Formula

Fx Copy

LaTeX Copy

Volume of Obtuse Edged Cuboid is the amount of three dimensional space occupied by the Obtuse Edged Cuboid. Check FAQs

V = (l Inner \cdot w Inner \cdot h Inner) + \sqrt{2} \cdot w Cut \cdot ((l Inner \cdot w Inner) + (w Inner \cdot h Inner) + (h Inner \cdot l Inner)) + ({(\frac{w Cuboid - w Inner}{\sqrt{2}})}^{2} \cdot (l Inner + w Inner + h Inner)) + ((\frac{4}{3 \cdot \sqrt{2}}) \cdot ({(w Cut)}^{3}))

V - Volume of Obtuse Edged Cuboid?l_Inner - Inner Length of Obtuse Edged Cuboid?w_Inner - Inner Width of Obtuse Edged Cuboid?h_Inner - Inner Height of Obtuse Edged Cuboid?w_Cut - Cut Width of Obtuse Edged Cuboid?w_Cuboid - Cuboidal Width of Obtuse Edged Cuboid?

Volume of Obtuse Edged Cuboid given Inner Width and Cut Width Example

With values

With units

Only example

Here is how the Volume of Obtuse Edged Cuboid given Inner Width and Cut Width equation looks like with Values.

Here is how the Volume of Obtuse Edged Cuboid given Inner Width and Cut Width equation looks like with Units.

Here is how the Volume of Obtuse Edged Cuboid given Inner Width and Cut Width equation looks like.

1610.4693 = (8 \cdot 6 \cdot 11) + \sqrt{2} \cdot 3 \cdot ((8 \cdot 6) + (6 \cdot 11) + (11 \cdot 8)) + ({(\frac{10 - 6}{\sqrt{2}})}^{2} \cdot (8 + 6 + 11)) + ((\frac{4}{3 \cdot \sqrt{2}}) \cdot ({(3)}^{3}))

1610.4693m³ = (8m \cdot 6m \cdot 11m) + \sqrt{2} \cdot 3m \cdot ((8m \cdot 6m) + (6m \cdot 11m) + (11m \cdot 8m)) + ({(\frac{10m - 6m}{\sqrt{2}})}^{2} \cdot (8m + 6m + 11m)) + ((\frac{4}{3 \cdot \sqrt{2}}) \cdot ({(3m)}^{3}))

1610.4693 = (8 \cdot 6 \cdot 11) + \sqrt{2} \cdot 3 \cdot ((8 \cdot 6) + (6 \cdot 11) + (11 \cdot 8)) + ({(\frac{10 - 6}{\sqrt{2}})}^{2} \cdot (8 + 6 + 11)) + ((\frac{4}{3 \cdot \sqrt{2}}) \cdot ({(3)}^{3}))

Tip: Use pencil () icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Math » Geometry » 3D Geometry » Volume of Obtuse Edged Cuboid given Inner Width and Cut Width

Volume of Obtuse Edged Cuboid given Inner Width and Cut Width Solution

Follow our step by step solution on how to calculate Volume of Obtuse Edged Cuboid given Inner Width and Cut Width?

FIRST Step Consider the formula

V = (l Inner \cdot w Inner \cdot h Inner) + \sqrt{2} \cdot w Cut \cdot ((l Inner \cdot w Inner) + (w Inner \cdot h Inner) + (h Inner \cdot l Inner)) + ({(\frac{w Cuboid - w Inner}{\sqrt{2}})}^{2} \cdot (l Inner + w Inner + h Inner)) + ((\frac{4}{3 \cdot \sqrt{2}}) \cdot ({(w Cut)}^{3}))

Next Step Substitute values of Variables

∴

V = (8m \cdot 6m \cdot 11m) + \sqrt{2} \cdot 3m \cdot ((8m \cdot 6m) + (6m \cdot 11m) + (11m \cdot 8m)) + ({(\frac{10m - 6m}{\sqrt{2}})}^{2} \cdot (8m + 6m + 11m)) + ((\frac{4}{3 \cdot \sqrt{2}}) \cdot ({(3m)}^{3}))

Next Step Prepare to Evaluate

∴

V = (8 \cdot 6 \cdot 11) + \sqrt{2} \cdot 3 \cdot ((8 \cdot 6) + (6 \cdot 11) + (11 \cdot 8)) + ({(\frac{10 - 6}{\sqrt{2}})}^{2} \cdot (8 + 6 + 11)) + ((\frac{4}{3 \cdot \sqrt{2}}) \cdot ({(3)}^{3}))

Next Step Evaluate

∴

V = 1610.46926292081m³

LAST Step Rounding Answer

∴

V = 1610.4693m³

Volume of Obtuse Edged Cuboid given Inner Width and Cut Width Formula Elements

Variables

Functions

Volume of Obtuse Edged Cuboid

Volume of Obtuse Edged Cuboid is the amount of three dimensional space occupied by the Obtuse Edged Cuboid.

Symbol: V

Measurement: VolumeUnit: m³