Hank's Fudge Factory packages and sells homemade white chocolate and milk chocolate fudge. Both types of fudge come in blocks that are 6 centimeters wide and 6 centimeters tall. The volume of the block of white chocolate fudge is 360 cubic centimeters. The volume of the block of milk chocolate fudge is 504 cubic centimeters. How much longer is the block of milk chocolate fudge than the block of white chocolate fudge?Write your answer as a whole number or decimal. Do not round

Question

10-03-2022
Mathematics

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Hank's Fudge Factory packages and sells homemade white chocolate and milk chocolate fudge. Both types of fudge come in blocks that are 6 centimeters wide and 6 centimeters tall. The volume of the block of white chocolate fudge is 360 cubic centimeters. The volume of the block of milk chocolate fudge is 504 cubic centimeters. How much longer is the block of milk chocolate fudge than the block of white chocolate fudge?Write your answer as a whole number or decimal. Do not round

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lvall006 lvall006 · Answer 1 · 2022-03-22T15:58:40+01:00

Answer:

4

Step-by-step explanation:

The volume of a rectangular prism V is the product of its length ℓ, width w, and height h.

V=ℓwh

ou want to find how much longer the block of milk chocolate fudge is than the block of white chocolate fudge.

First, find how long the block of milk chocolate fudge is. The block of milk chocolate fudge is shaped like a rectangular prism. Its width is 6 centimeters, its height is 6 centimeters, and its volume is 504 cubic centimeters.

To find how long the block of milk chocolate fudge is, ℓ, you can use the formula for the volume of a rectangular prism.

V

= ℓwh

504

= ℓ66

504

= ℓ36 Multiply 6 by 6

506

36

=

ℓ36

36

Divide both sides by 36

14

= ℓ Simplify

The block of milk chocolate fudge is 14 centimeters long.

Now, find how long the block of white chocolate fudge is. The block of white chocolate fudge is shaped like a rectangular prism. Its width is 6 centimeters, its height is 6 centimeters, and its volume is 360 cubic centimeters.

To find how long the block of white chocolate fudge is, ℓ, you can use the formula for the volume of a rectangular prism.

V

= ℓwh

360

= ℓ66

360

= ℓ36 Multiply 6 by 6

360

36

=

ℓ36

36

Divide both sides by 36

10

= ℓ Simplify

The block of white chocolate fudge is 10 centimeters long.

Subtract to find how much longer the block of milk chocolate is than the block of white chocolate fudge.

14–10=4

The block of milk chocolate fudge is 4 centimeters longer than the block of white chocolate fudge.