Question

Length: 2 and 1 over 4 feet
Width: 1 foot
Height: 1 and 1 over 4 feet
The lengths of the sides of a small cube are 1 over 4 foot each.

Part A: How many small cubes can be packed in the rectangular prism? Show your work.

Part B: Use the answer obtained in part A to find the volume of the rectangular prism in terms of the small cube and a unit cube.

Answer 1

@imqwerty

Answer 2

@triciaal @Zeronknight

Answer 3

Wouldn't it be easier to express "Length: 2 and 1 over 4 feet
Width: 1 foot
Height: 1 and 1 over 4 feet
The lengths of the sides of a small cube are 1 over 4 foot each"

as L=2 1/4 ft;
W= 1 ft
H= 1 1/4 ft

small L = 1/4 ft

??

Answer 4

either way i fine

Answer 5

Note that this problem becomes easier if you convert these mixed numbers to improper fractions. H = 1 1/4 ft is equivalent to 5/4 ft.

Answer 6

ok

Answer 7

So, what's your next step?

Answer 8

ummmm my lil sis say idk

Answer 9

1. Find the volume of the box of given dimensions.
2. Find the volume of a typical "small cube."
3. ?

Answer 10

Volume of a rectangular box is L*W*H.

You already know L, W and H.

Multiply them together.


Show all work, please.

Answer 11

umm okay ill give it too her to show it

Answer 12

Caution: Convert

L=2 1/4 ft;
W= 1 ft
H= 1 1/4 ft

...to improper fractions first.

Answer 13

oh...

Answer 14

Here's an example: 1 1/4 is the same as 1/4 + 1/4 + 1/4 + 1/4 + 1/4 = ? / 4

Answer 15

What I'd do would be to multiply the first 1 in 1 1/4 by 4, add the 2nd 1 and write 5/4.

Answer 16

that's the height, H.

Answer 17

2 1/4: Same procedure. take the denom (4) and multiply the '2' by it. Result: 8.

Can you finish this? 2 1/4 = ? / 4

Answer 18

In effect, this gives us 4(2) 1
--- + --- = ??
4 4

Answer 19

um she say uhh uhhh uhhhh :O shes crying hold on

Answer 20

Well, try this:

L = 2 1/4 = 9/4 (ft)

W = 1 (ft)

H = 1 1/4 = 5/4 (ft)

Volume of big box = L * W * H

\[V=L*W*H=(\frac{ 9 }{ 4 })*(1)*(\frac{ 5 }{ 4 }) = ???\]

Answer 21

the units of measurement here are (inches)^3, or \[inches^3\] .

Answer 22

ohh i know she thanks you u help her a lot :) ill medal u

Answer 23

sorry this process has been painful for your sister. Good luck!

Answer 24

thanks