What is the surface area of the prism not drawn to scale the L is 15 the W is 3 and the H is 4 i need help asap ps it says show all the steps
Surface Area = 2(lw + lh + wh)
so
2((15*3)+(15*4)+(3*4))=234 m^2
so what’s the answer
im not sure
honestly
im failing i need the answers
... GET GOOD
Well, get ready for a hilarious math lesson! To find the surface area of this prism, we need to calculate the area of each face and then add them up. Let's get started!
Step 1: The top and bottom faces:
The top and bottom faces have dimensions of L x W, which in this case is 15 x 3. Hence, each face has an area of 45 square units.
Step 2: The front and back faces:
The front and back faces have dimensions of L x H, or 15 x 4. So each face has an area of 60 square units.
Step 3: The left and right faces:
The left and right faces have dimensions of W x H, or 3 x 4. Therefore, each face has an area of 12 square units.
Step 4: Now sum it up!
Add up the areas of all the faces:
45 + 45 + 60 + 60 + 12 + 12 = 234 square units.
So, the surface area of this prism is 234 square units. Ta-da!
I hope my hilarious steps helped you understand how to find the surface area of a prism!
To find the surface area of a prism, you need to calculate the sum of the areas of all its faces.
1. Identify the faces of the prism: A prism has two congruent bases and rectangular lateral faces.
- The bases are rectangles, so there are two identical bases in this rectangular prism.
- The lateral faces are rectangular, and there are four of them in this rectangular prism.
2. Calculate the area of one base: The base area can be calculated by multiplying its length by its width. In this case, the length (L) is 15 and the width (W) is 3, so the area of one base is 15 * 3 = 45 square units.
3. Calculate the area of one lateral face: The lateral face area can be calculated by multiplying its length (L) by its height (H). In this case, the length (L) is 15 and the height (H) is 4, so the area of one lateral face is 15 * 4 = 60 square units.
4. Calculate the total surface area: To find the total surface area, you need to add the areas of both bases and all four lateral faces.
Total surface area = (Area of one base) + (Area of one base) + (Area of one lateral face) + (Area of one lateral face) + (Area of one lateral face) + (Area of one lateral face)
Total surface area = (45) + (45) + (60) + (60) + (60) + (60)
Total surface area = 330 square units
Therefore, the surface area of the prism is 330 square units.