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.
