I Love Cake Cross-section

Geometry Level 3

in this conical cake which of the following cross sections Mia will not be able to make ?

A D C B

Rohan Kumar by Rohan Kumar , 22, India

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2 solutions

Ameya Salankar
Apr 1, 2014

Come on @Rohan Kumar ! This question is from this year's PSA!

Clearly, the answer was B) . Also note that the question asks for the cross - sections which are nothing but the figures left after cutting the shape in any way.

You can get A) by cutting the cone straight in the middle.

You can get C) by slicing it from any point on its curved surface to the bottom.

You can get D) by slicing it horizontally.

The only cross-section you can't get is B) .

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yeah that,s right it is from psa

Rohan Kumar - 7 years, 2 months ago

I got this right in PSA, while some of my classmates got it wrong..

Shabarish Ch - 7 years, 2 months ago

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Same here @Shabarish Ch !

Ameya Salankar - 7 years, 2 months ago

I forgot what i did for this in PSA, but now i've got it WRONG!.. :(

Arya Samanta - 7 years, 2 months ago

Whats PSA?

Aayush Gupta - 7 years, 2 months ago

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Oh! You are from the US. PSA is Problem Solving Assessment which is held every year for 9 t h 9^{th} graders & it consists of non-routine problems which are quite tricky sometimes.

Ameya Salankar - 7 years, 2 months ago

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it is even conducted for 11th !

anukriti india - 7 years, 2 months ago

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@Anukriti India – @anukriti india Oops! I forgot! Sorry!

Ameya Salankar - 7 years, 2 months ago

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@Ameya Salankar – it's okay ! :)

anukriti singh - 7 years, 2 months ago

I got this right in psa!!!!!!!!!!!!!!!!

Rohit Nair - 7 years, 2 months ago

C is right answer.

dishant mahajan - 7 years, 1 month ago

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@dishant mahajan , you can easily get C by positioning the knife at any point on the curved surface & slicing it straight downwards . You can get a real cone (of modelling clay or something) & try it out.

Ameya Salankar - 7 years, 1 month ago
Pritam Waghode
Apr 19, 2014

the image a) can be cut as if we cut it from half the image c)can be cut from one side the image d)can be cut as from bottom but image b)cannot be from any side

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