Question

ᴘʟs ʜᴇʟᴘᴘᴘᴘ ᴍᴇᴇᴇᴇᴇᴇ!!

ɴᴏɴsᴇɴsᴇ = ʀᴇᴘᴏʀᴛ ​

Answer 1

216 in²

Explanation:

The above diagram is a rectangular prism, a three-dimensional shape, having six faces, where all the faces (top, bottom, and lateral faces) of the prism are rectangles such that every two opposite side faces are identical.

Hence we can calculate the surface area of the diagram by multiplying the surface areas of the three faces by 2, and adding them together.

= 2(5 x 4.5) + 2(5 x 9) + 2(4.5 x 9)

= 45 + 90 + 81

= 216 in²

Answer 2

Problem:-

What is the approximate surface area of the figure?

A. 101.3 in²

B. 108 in²

C. 202.5 in²

D. 216 in²

Solution:-

Since the base of the prism is a rectangle, the perimeter P of the base is 2(9+4.5) or 27 inches. The area of the base is 9•4.5 or 40.5 square inches. The height is 5 cinches.

`\sf{S=Ph+2B}`

`\sf{ \: \: \: \: =(27•5)+2(4.5)}`

`\sf{ \: \: \: \: =135+81}`

`\sf{ \: \: \: \: =\:}{\color{magenta}{216}}`

Answers:-

The surface area of the figure is 216 square inches. So, the correct option is D.

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#Hope it helps!

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