The dimensions of the rectangular prism are shown on the net below. Which of the following is closest to the total surface area of the figure?
A. 101.6 cm^2
B. 203.2 cm^2
C. 285.1 cm^2
D. 178.7cm^2

The dimensions of the rectangular prism are shown on the net below Which of the following is closest to the total surface area of the figure A 1016 cm2 B 2032 c class=

Respuesta :

The area of a 2D form is the amount of space within its perimeter. The total surface area of the rectangular prism is 203.2 units².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or other quadrilaterals, multiply its length by its width.

The total surface area of a rectangular prism is given by the formula,

Total Surface Area = 2[(Length×width) + (Length×height) + (height×width)]

Given the length of the rectangular prism is 9cm, the width of a rectangular prism is 7.6 cm, and the height of the prism is 2 cm. Therefore, the total surface area can be written as,

[tex]\text{Total Surface Area} = 2[(9 \times 7.6) + (9 \times 2)+(2 \times 7.6)][/tex]

                              [tex]\rm = 2(68.4+ 18 + 2 \times 15.2)\\\\= 203.2\ cm^2[/tex]

Hence, the total surface area of the rectangular prism is 203.2 units².

Learn more about the Area:

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