Can someone please help me figure this out I don't know geometry nor measurement that well.
I don't know where to begin ;(
A right rectangular prism has a length of 15 millimeters, width of 3 millimeters, and height of 4 millimeters.
(idk how to put the photo I'm sorry)
What is the surface area of the prism?
You will have 3 pairs of rectangles
SA = ( 2(15)(3) + 2(15)(4) + 2(3)(4) ) mm^2
= ...
234? :D
To find the surface area of a right rectangular prism, you need to calculate the areas of all six faces and then add them together.
Step 1: Identify the six faces of the prism. In this case, there are two identical faces for each pair of opposite sides: top and bottom, front and back, and left and right.
Step 2: Calculate the area of each face:
- The area of the top and bottom faces is equal to the length multiplied by the width: 15 mm × 3 mm = 45 square millimeters each.
- The area of the front and back faces is equal to the length multiplied by the height: 15 mm × 4 mm = 60 square millimeters each.
- The area of the left and right faces is equal to the width multiplied by the height: 3 mm × 4 mm = 12 square millimeters each.
Step 3: Add up all the areas to find the total surface area:
- Total surface area = 2 × (top and bottom) + 2 × (front and back) + 2 × (left and right)
- Total surface area = 2 × 45 + 2 × 60 + 2 × 12
- Total surface area = 90 + 120 + 24
- Total surface area = 234 square millimeters
So, the surface area of the prism is 234 square millimeters.