Question

A new solid is created by cutting a right rectangular prism from a cube. The right rectangular prism has a length

Answer 1

Volume of solid created  = $85m^{3}$.

Step-by-step explanation:

We have , A new solid is created by cutting a right rectangular prism from a cube. The right rectangular prism has a length  of 5 m, a width of 4 m, and a height of 2 m. The side lengths of the cube are 5 m . Volume of solid created = Volume of cube  - Volume of rectangular prism

Volume of cube = $side^{3}$

⇒ $Volume1 = side^{3}$

⇒ $Volume1 = 5^{3}$

⇒ $Volume1 = 125m^{3}$

Volume of rectangular prism = $wlh$

⇒ $Volume2 = wlh$

⇒ $Volume2 = 5(4)(2)$

⇒ $Volume2 = 40m^{3}$

Now,  Volume of solid created = Volume of cube  - Volume of rectangular prism

⇒ Volume of solid created  = $Volume1 - Volume2$

⇒ Volume of solid created  = $125m^{3} - 40m^{3}$

⇒ Volume of solid created  = $85m^{3}$

∴ Volume of solid created  = $85m^{3}$.