Question

you bake a dessert in the baking pan shown. you cut the dessert into cube shaped pieces of equal size. each piece has a volume of 8cubic inches how many pieces do you get from one pan?

Answer 1

Answer:

16 pieces

Step-by-step explanation:

The complete question in the attached figure

step 1

Find the length side of each cube shaped piece

we know that

The volume of the cube is equal to

$V=b^3$

where

b is the length side of the cube

we have

$V=8\ in^3$

so

$b^3=8$

solve for b

$b=2\ in$

step 2

How many pieces do you get from one pan?

we know that

The height of the dessert in the baking pan is equal to the height of the cube

so

The total volume of the dessert in the baking pan is equal the area of the square base multiplied by the height

$64(2)=128\ in^3$

Divide the total volume of the dessert by the volume of one cube

$128/8=16\ pieces$