Answer:
option c is correct
slant height of the pyramid is, 5 inches
Step-by-step explanation:
Volume of a pyramid(V) is given by:
where,
B is the base area
h is the height.
As per the statement:
Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches.
Since, base is square
⇒Base area =
⇒ Base area = square inches.
and
volume of solid square right pyramid(V)= 48 cubic inches
Substitute these we have;
⇒
Divide both sides by 12 we have;
inches.
To find the slant height:
Using Pythagoras theorem.
where
l is the slant height
b is the base edge of the pyramid.
then;
⇒
⇒ inches
therefore, the slant height of the pyramid is, 5 inches