Small cubes with edge lengths of 1/4 inch will be packed into the right rectangle prism shown. How many small cubes are needed to completely fill the right rectangular prism?

Help please and the teacher also said to show your work on paper help please thanks!

5,400

First, find the volume of the small shape.

(

1

4

×

1

4

×

1

4

)

=

1

64

Then, divide the volume of the bigger shape.

(

4.1

2

×

5

×

3.3

4

)

=

675

8

Finally, divide the big shape volume by the small shape volume.

(

675

8

÷

1

64

)

=

5400

Smaller shapes will fit into bigger shapes.

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629