An architect built a model of a building in the shape of a rectangular prism. the model is 25.4 centimeters long, 19.05 wide, and 76.2 centimeters tall. one inch equals 2.54 centimeters. what is the volume of the model in cubic inches?

The Model is 25.4 Centimeters Long, 19.05 Wide, And 76.2 Centimeters Tall

The volume of a rectangular prism = Length * width * height

Length = 25.4 cm

Width = 19.05 cm

Height = 76.2 cm

Now convert cm to inches

2.54 cm = 1 inch

Length = = 10 inches

Width = =7.5 inches

Height = = 30 inches

We know volume = length * width * height

cubic inches

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)