Question

Tracy used the expression (25.6) (16.2) + (25.6) (36.5) + (16.2) (37.8) to find the surface area, in square centimeters, of the rectangular pyramid below.
A rectangular pyramid. The rectangular base has a length of 25.6 centimeters and width of 16.2 centimeters. 2 triangular sides have a base of 25.6 centimeters and height of 36.5 centimeters. 2 triangular sides have a base of 16.2 centimeters and height of 37.8 centimeters.

Which statement best describes her work?
Tracy’s answer will be incorrect because she forgot the factor One-half in the expression representing the area of the triangular faces.
Tracy’s answer will be incorrect because the pyramid has five faces and her expression finds the sum of only three products.
Tracy’s answer will be correct because she made use of the fact that 2 (one-half) = 1 in her expression.
Tracy’s answer will be correct because a rectangular pyramid has only three faces and the expression finds the sum of three products.

Answer 1

So 25.6 + 16.2 + 25.6 + 36.5 + 16.2 + 37.8 = 1961.48

I would say the second statement would best describe her work, because it is giving the most detail out of those statements.

Hope this helps!

~Jarvis

Answer 2

Answer:

Tracy’s answer will be correct because she made use of the fact that 2 (one-half) = 1 in her expression.

C