Question

find the surface area of the prism using the net. what is the area of the side rectangles? front and back: 64 cm² triangles side rectangles: ?cm² bottom rectangle cm surface area cm

Explanation:

Step1: Identify side - rectangles

There are 3 side - rectangles. Two have dimensions 9 cm by 4 cm and one has dimensions 9 cm by 8 cm.

Step2: Calculate area of first type of side - rectangles

The area of a rectangle is $A = l\times w$. For the two rectangles with $l = 9$ cm and $w = 4$ cm, the combined area is $2\times(9\times4)=72$ $cm^{2}$.

Step3: Calculate area of second type of side - rectangle

For the rectangle with $l = 9$ cm and $w = 8$ cm, the area is $9\times8 = 72$ $cm^{2}$.

Step4: Calculate total area of side - rectangles

The total area of the side - rectangles is $72 + 72=144$ $cm^{2}$.

Answer:

$144$