Question

A rectangular prism made of wood has a length of 10 centimeters, a width of 8 centimeters, and a height of 12 centimeters. A rectangular hole with a length of 2 centimeters and a width of 3 centimeters is cut through the prism as shown. What is the volume of the resulting figure? A. 882 cubic centimeters B. 888 cubic centimeters C. 960 cubic centimeters D. 1,032 cubic centimeters

Answer 1

D. 1032 cubic centimeters I think

Answer 2

Answer:888 cubic centimeters

Step-by-step explanation:

The formula for determining the volume of a rectangular prism is expressed as

Volume = length × height × width

Length = 10 centimeters

Width = 8 centimeters

Height = 12 centimeters

Therefore, the volume of the rectangular prism would be

10 × 8 × 12 = 960 centimeters³

A rectangular hole with a length of 2 centimeters and a width of 3 centimeters is cut through the prism. The height of the hole would also be 12 centimeters.

Therefore, the volume of the rectangular hole would be

2 × 3 ×12 = 72 cm³

the volume of the resulting figure would be

960 - 72 = 888 cm³