Question

2. Find the surface area of the following figure.

8 km
-3+3.5)
8 km
tis)
7 km
8 km
8 km

Answer 1

344

Explanation:

First we are going to find the area of the top and bottom

8x8=64. Since the top and bottom are the same, we can do 64x2=128.

Now we are going to find the area of the left and right sides.

8x7=54. Since the right and left are the same, we can do 54x2=108.

Now we are going to find the area of the front side and the back side.

8x7=54. Since the front and back are the same, we can do 54x2=108.

Now we add our answers up. 128+108+108=344

Answer 2

The surface area of a prism is the sum of the areas of its faces. To calculate the surface area, find the area of each face and add them together.

Calculating Surface Area

The surface area of a closed shape is the total area of all of its faces. To find the surface area of a prism, we can add up the areas of each of its faces.

Given:

The figure is a prism with dimensions as shown:

8 km

/ \

/ \

/ \

7 km 7 km

\ /

\ /

\/

8 km

Calculating the Surface Area:

Calculate the area of each of the rectangular faces:

Face 1: 8 km x 7 km = 56 km²

Face 2: 8 km x 7 km = 56 km²

Face 3: 7 km x 7 km = 49 km²

Face 4: 7 km x 8 km = 56 km²

Face 5: 7 km x 8 km = 56 km²

Add up the areas of all five faces to find the total surface area:

Surface area = 56 km² + 56 km² + 49 km² + 56 km² + 56 km²

Surface area = 319 km²

Therefore, the surface area of the figure is 319 km².