unit 7 lesson 5

Question

surface area of rectangular prisms quick check

use the image to answer the question
6ft., 3.5ft., 8ft.

what is the surface area of the rectangular prism?

_ ft. ^2

Answer 1

The surface area of a rectangular prism can be calculated by finding the area of each of the six faces and then adding them together.

In this case, the rectangular prism has dimensions of:
Length = 6ft
Width = 3.5ft
Height = 8ft

The six faces of the rectangular prism are:
1. Top face = 6ft * 3.5ft = 21ft^2
2. Bottom face = 6ft * 3.5ft = 21ft^2
3. Front face = 6ft * 8ft = 48ft^2
4. Back face = 6ft * 8ft = 48ft^2
5. Left side face = 3.5ft * 8ft = 28ft^2
6. Right side face = 3.5ft * 8ft = 28ft^2

Adding all the areas together:
21ft^2 + 21ft^2 + 48ft^2 + 48ft^2 + 28ft^2 + 28ft^2 = 194ft^2

Therefore, the surface area of the rectangular prism is 194ft^2.