Helen has 48 cubic inches of clay to make a solid right pyramid with a base edge measuring 6 inches. which is the slant height of the pyramid if helen uses all the clay?

a. 3 inches
b. 4 inches
c. 5 inches
d. 6 inches

we know that

The volume of the pyramid is equal to

where B is the area of the base

h is the height of the pyramid

Step

Find the height of the pyramid

we know that

the base is a square

so

Step

Find the slant height of the pyramid

we know that

Applying the Pythagorean Theorem

where

l is the slant height

h is the height of the pyramid

b is a base edge of the pyramid

Substitute

therefore

the answer is the option

C. 5 inches

rounding to the nearest thousandth would be 452,000

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