Calculate the surface area of the composite figure shown.

2 rectangular prisms. One prism has a length of 8, width of 8, and height of 2. The second prism has a length of 8, width of 2, and height of 4.

Back Prism:

1 base: 8 by 8

4 lateral faces: 8 by 2

One shared base: 64 – 32 = 32 square units

Front Prism:

1 base: 8 by 4

2 lateral faces: 8 by 2

2 lateral faces: 2 by 4

One shared base: area covered by other prism

Respuesta :

Answer:

The real answer is B 240

Step-by-step explanation:

Back Prism:

1 base: 8 by 8

4 lateral faces: 8 by 2

One shared base: 64 – 32 = 32 square units

Front Prism:

1 base: 8 by 4

2 lateral faces: 8 by 2

2 lateral faces: 2 by 4

One shared base: area covered by another prism

Total surface area:

✔ 240 square units

To calculate the surface area, the formula is the sum of the areas of all faces in a shape.

Back Prism:

1 base: 8 by 8.

4 lateral faces: 8 by 2.

One shared base: 64 – 32 = 32 square units.

Front Prism:

1 base: 8 by 4.

2 lateral faces: 8 by 2.

2 lateral faces: 2 by 4.

Therefore, one shared base: an area covered by another prism.

Total surface area: 240 square units.

What is a surface area?

A surface area is the outer part of the uppermost layer of something. This is known in maths as the amount of space covering the outside of a three-dimensional shape.

Hence, we can see that to calculate, the formula is the sum of the areas of all faces in a shape which sums up to 240 square units.

Learn more about surface areas here:

https://brainly.com/question/76387

#SPJ2