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Taya2010 [7]
3 years ago
13

What cross section results when you cut a cylinder perpendicular to its base?

Mathematics
1 answer:
wariber [46]3 years ago
3 0

The cross section that results, is a triangle.

Step-by-step explanation:

Cross section is a shape that forms when a slice or a cut  is made through a solid.

A solid can have multiple cross sections depending on where you slice the solid.

Cross section perpendicular to the base of a solid will result in triangles.Cross sections parallel to the base of the solid will result in hexagons and so on.

Cross section help in representing three dimension objects in a two dimension way.

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Find the surface area of the triangular prism
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Answer:

608 ft²

Step-by-step explanation:

<u>1) Find the area of the bases</u>

A=\frac{1}{2} bh where b is the base length and h is the height

Plug in b and h

A=\frac{1}{2} (12)(8)\\A=48

Multiply the answer by 2 (because there are 2 bases)

A=96

Therefore, the area of the two bases is 96 ft².

<u>2) Find the area of the two sides facing up</u>

A=lw where l is the length and w is the width

Plug in l and w

A=10*16\\A=160

Multiply the answer by 2 (because there are 2 sides)

A=320

Therefore, the area of these two sides is 320 ft².

<u>3) Find the area of the bottom side</u>

A=lw where l is the length and w is the width

Plug in l and w

A=12*16\\A=192

Therefore, the area of this side is 192 ft².

<u>4) Add all the areas together</u>

96 ft² + 320 ft² + 192 ft²

= 608 ft²

Therefore, the surface area of the triangular prism is 608 ft².

I hope this helps!

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