Abdul is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular

Question

2 years ago

15

Abdul is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular

prism. He now needs to cover the wooden blocks on all sides with green fabric. How much fabric does Abdul need in order to cover 8 of these blocks?
4cm

22cm

32cm

176cm

Please show your work. Thanks!

Mathematics

2 answers:

Free_Kalibri [48] · Answer 1 · 2023-01-01T21:52:07+03:00

Answer:

The amount of fabric needed to cover 8 blocks is 192cm.

How much fabric is needed to cover 8 blocks?

In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.

Total surface area of a rectangular prism = 2 (lw + wh + lh)

where:

l = length

w = width

h = height

2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm

Fabric needed fo 8 blocks = 24 x 8 = 192cm

Step-by-step explanation:

Valentin [98] · Answer 2 · 2023-01-01T19:41:37+03:00

The amount of fabric needed to cover 8 blocks is 192cm.

<h3>How much fabric is needed to cover 8 blocks?</h3>

In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.

Total surface area of a rectangular prism = 2 (lw + wh + lh)

where:

l = length
w = width
h = height

2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm

Fabric needed fo 8 blocks = 24 x 8 = 192cm

To learn more about rectangular prisms, please check: brainly.com/question/8890358