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What is the slant height for given pyramid to the nearest to the whole unit?

A 7 cm
B 5 cm
C 9 cm
D 8 cm

What is the slant height for given pyramid to the nearest to the whole unit? A 7 cm-example-1

1 Answer

3 votes

Answer:

B 5 cm

Explanation:

The bottom leg of the shaded triangle is 1/2 of the length of the side, so is 3 cm. The vertical leg of the shaded triangle is the height of the pyramid, given as 4 cm.

The slant height is the hypotenuse of the shaded triangle, so can be found from your knowledge of the 3-4-5 triangle, or from the Pythagorean theorem.

If s is the slant height, then ...

s^2 = 3^2 + 4^2 = 9 +16 = 25

s = √25 = 5

The slant height is 5 cm.

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