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Any Triangle End

Part of the Surface Area & Volume section of Coddy's Geometry journey. Lesson 4 of 60.

A common mistake with a tent is to use a slanted side as the height. The height of the triangle end is the dashed line. It goes from the top straight down to the base, at a right angle.

A tent-shaped prism: base 8, dashed height 3, slanted sides 5, length 10

The area of the end is half the base times this height: 12⋅8⋅3=12\frac{1}{2}\cdot 8\cdot 3 = 12. The tent is 10 long, so it holds 12⋅10=12012\cdot 10 = 120. The slanted sides are not used.

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Challenge

The tent is a prism with a triangle end. Tap the three lengths you need for its volume. Leave the other lengths.

Then press Check.

Try it yourself

Find the right part on the figure

Find the right part on the figure

All lessons in Surface Area & Volume