Find the surface area of the prism.
Rectangular Prism
L=13 m
W=6 m
H=5 m
A) 48m
B)346m****
C)780m
D)195m
Please help!
Right!
thanks!
You're welcome.
8cm 14cm
I know that is the answer but I'm actually trying to learn it, so if anyone does not mind, can you put work on how to get that answer?
To find the surface area of a rectangular prism, you need to calculate the area of each face of the prism and then add them up.
The rectangular prism has 6 faces - 2 rectangular faces for the top and bottom, and 4 rectangular faces for the sides.
First, let's calculate the area of the top and bottom faces:
The top and bottom faces are both rectangles, so the formula to calculate their areas is:
Area = Length (L) x Width (W)
Area of the top face = L x W = 13 m x 6 m = 78 m²
Area of the bottom face = L x W = 13 m x 6 m = 78 m²
Next, let's calculate the area of the side faces:
The side faces are also rectangles, but the area formula is different as it takes into account the height (H). The formula for the area of a rectangle with height is:
Area = Width (W) x Height (H)
Area of each side face = W x H = 6 m x 5 m = 30 m²
Since there are 4 side faces, we need to multiply the area of each side face by 4:
Total area of side faces = 4 x (W x H) = 4 x (6 m x 5 m) = 4 x 30 m² = 120 m²
Now, we add up all the areas to get the total surface area of the rectangular prism:
Total Surface Area = Area of top face + Area of bottom face + Total area of side faces
= 78 m² + 78 m² + 120 m²
= 276 m²
Therefore, the correct option for the surface area of the prism is B) 346m².