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

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

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step-by-step explanation: