Question

the oblique pyramid has a square base with an edge length of 5 cm. the height of the pyramid is 7 cm. what is the volume of the pyramid

Answer 1

Answer:

The volume of the pyramid is, 58.67 cubic cm.

Explanation:

The oblique pyramid has a square base with an edge length(a) of 5 cm and the height of the pyramid is 7 cm.

so, Area of base(Square) of pyramid(A) is = $a\cdot a$

=$5\cdot 5=25 cm^2$

To find the volume of pyramid(V) in $cm^3$ given by:

$V=\frac{1}{3}\left ( A\cdot h \right )$ where A is the area of the base and h is the height of the pyramid.

On putting the value of A and h in the above expression:

$V=\frac{1}{3}\left ( 25\cdot 7 \right )$

$V=\frac{1}{3}\cdot \left ( 175 \right )$ $cm^3$$=58.66666 cm^3$

therefore, the volume of the pyramid is, 58.67 cubic cm.