Question

A cuboid has dimensions of length 10 cm, width 5 cm and height 8 cm. A cube with side length 5 cm is cut out from one of the faces of the cuboid. What is the remaining volume of the cuboid?

• A. 225 cm³
• B. 200 cm³
• C. 275 cm³
• D. 250 cm³

Answer 1

Answer:

C. 275 cm³

The remaining volume of the cuboid is 275 cm³.

* Find the original cuboid volume: Multiply the length, width, and height.

$\text{Volume} = 10\text{ cm} \times 5\text{ cm} \times 8\text{ cm} = \mathbf{400\text{ cm}^3}$

* Find the removed cube volume: Cube the side length.

$\text{Volume} = 5\text{ cm} \times 5\text{ cm} \times 5\text{ cm} = \mathbf{125\text{ cm}^3}$

* Subtract the cube from the cuboid: Find the leftover space.

$\text{Remaining Volume} = 400\text{ cm}^3 - 125\text{ cm}^3 = \mathbf{275\text{ cm}^3}$