Question

A rectangular prism is completely packed with 90 cubes of edge length fraction 1 over 2 inch, without any gap or overlap. Which of the following describes the volume of this rectangular prism?

11 unit cubes and 1 smaller cube of volume fraction 1 over 8 cubic inch
22 unit cubes and 4 smaller cubes of volume fraction 1 over 8 cubic inch each
11 unit cubes and 2 smaller cubes of volume fraction 1 over 8 cubic inch each
22 unit cubes and 2 smaller cubes of volume fraction 1 over 8 cubic inch each

Could someone teach me the steps please? I reviewed the lesson, I still don't understand

Answer 1

Hint: volume of each cube = 1/2 * 1/2 * 1/2

Answer 2

oh you were given that anyway!

Answer 3

so that would be 1/6

Answer 4

no they are multiplied

Answer 5

I'm pretty sure the volume of each cube is 1/8. Just divide 90 by 1/8 after that and you'll find the answer.

Answer 6

yep

Answer 7

Oh yeah, so 1/8 right? Ye

Answer 8

Thank you you two, I'm supposed to be in 10th grade math buuut I have to retake 6th... Kinda embarrassing.

Answer 9

It's okay! gl<3

Answer 10

well multiply 90 by 1/8 and find the quotient and remainder

Answer 11

While I have you two let me check my work with you if it's fine

Answer 12

A-okay!

Answer 13

So it would be (90*1)/8 right?

Answer 14

Which would come out to be 11.25?

Answer 15

No there are 11 unit cubes but how many of the smaller ones?

Answer 16

90 / 8 = 11 and how many over?

Answer 17

25

Answer 18

Wait no, 2?

Answer 19

11*8 = 88 - that equals 11 unit cubes
and there are 90-88 = 2 small ones left

Answer 20

Yes

Answer 21

so it would be c!

Answer 22

right C

Answer 23

Thank you for the help! I really appreciate it.

Answer 24

yw