Question

A rectangular prism and a square pyramid were joined to form a composite figure.

A rectangular prism with a length of 9 inches, width of 9 inches, and height of 5 inches. A square pyramid with triangular sides with a base of 9 inches and height 4 inches.
[Not drawn to Scale]

What is the surface area of the figure?
261 in.2
333 in.2
405 in.2
477 in.2

Answer 1

it is B

I took the quiz

Answer 2

B. 333 in.2

Explanation:

The area of the base is 81^2

lateral is 45 x 4 = 180^2 (9x5x4)

180^2 add the 72 pyramid = 252^2 + base of 81^2 = 333^2

Composite figueres i do like this as shown to you a few seconds ago.

The triangle shows us just the height

4 inches

We can see that height is smaller central isosceles height across the center base point.

We also can remember to use the length 9inches but divide by 2 and get each triangle area this way.

4 x 1/2 base = 4x 1/2 4.5 = 4 x 2.25 = 9^2 each right side triangle

9 x 8 = 72^2

we add the areas 72+ 81+lateral 180 = 333 inches^2