Question

Which of the following solids could have the slant cross section shown above?

A.
sphere
B.
cube
C.
cone
D.
triangular prism

Answer 1

@Hero please! help

Answer 2

@nincompoop please

Answer 3

Notice the bottom of the shape has a straight line.
Can you intersect a sphere with a plane in any way that it will have a straight line edge?

Answer 4

no..

Answer 5

i dont think

Answer 6

Correct.
A is eliminated.

Answer 7

it's not a cone either right?

Answer 8

All the edges of a cube are segments, and all the faces are flat planes.
Can you have a plane intersect a cube in any way and produce curved lines?

Answer 9

Correct.
Eliminate B.

Answer 10

no.

Answer 11

so is it a cone?

Answer 12

Let's skip to D.
A triangular prism has triangles for faces and line segments for edges. It's all straight and flat. So it's the same as the cube. An intersection with a plane cannot produce the parabola-shaped curve in the yellow figure.

Answer 13

That eliminates D.
You are left with C, a cone.

Answer 14

so it's a cone.

Answer 15

thank you!!!

Answer 16

You're welcome.
I'm trying to draw it for you now.