A wooden box has the shape of a rectangular prism. The inside of the box is also a rectangular prism. What is the volume of the solid part of the box? Enter your answer below.
A rectangular prism is 25 centimeters tall, 8 centimeters long, and 10 centimeters wide. A smaller rectangular prism is inside which is 22 centimeters tall, 5 centimeters long, and 4 centimeters wide.
To find the volume of the solid part of the box, we first need to find the volume of the larger rectangular prism and the smaller rectangular prism, then subtract the volume of the smaller prism from the volume of the larger prism.
Volume of the larger rectangular prism = 25 cm x 8 cm x 10 cm = 2000 cm³
Volume of the smaller rectangular prism = 22 cm x 5 cm x 4 cm = 440 cm³
Volume of the solid part of the box = 2000 cm³ - 440 cm³ = 1560 cm³
Therefore, the volume of the solid part of the box is 1560 cm³.