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garik1379 [7]
3 years ago
7

Given a cube with a volume of 27 cm³ what is the volume of a square piramid that can fit perfectly inside the cube?

Mathematics
1 answer:
Hunter-Best [27]3 years ago
5 0
As you know, a cube has all equal dimensions, thus length=width=height = x, check the picture below.

that means the square pyramid has a base of a 3x3 square, and its height is also 3, thus

\bf \textit{volume of a pyramid}\\\\
V=\cfrac{1}{3}Bh~~
\begin{cases}
B=area~of\\
\qquad its~base\\
h=height\\
------\\
B=\stackrel{3\times 3}{9}\\
h=3
\end{cases}\implies V=\cfrac{1}{3}(9)(3)

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Answer:

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Step-by-step explanation:

Hi there!

TL;DR: Observe the vertices of the shapes inside the circles and their relationship with the circle.

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For the second figure, the triangle has 3 vertices and there are 3 dots on the perimeter of the circle.

For the third figure, the line has 2 points and there are 2 dots on the perimeter of the circle.

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