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Mathematics 20 Online
OpenStudy (jazzyluvsu123):

Joyce has a set of wooden blocks that are shaped like rectangular prisms. Each block is 3 centimeters long, 2 centimeters wide and 1 centimeter high. How many of there blocks would be needed in order to fill a box that is 18 centimeters long, 10 centimeters wide and 3 centimeters high? A. 90 B.75 C.50 D.33 @I_love_my_nieces @cookiibabii93 @agent0smith @charlotte123

OpenStudy (anonymous):

I'm the wrong person to ask lol I hate word problems.

OpenStudy (i_love_my_nieces):

I don't know, sorry, maybe you can help me @JazzyLuvsU123

OpenStudy (jtvatsim):

Start by calculating the volume of the box. Then, calculate the volume of each block. You might be able to take it from there. :)

OpenStudy (jazzyluvsu123):

im in 7th grade what do u mean by calculate @jvatsim

OpenStudy (jtvatsim):

I mean do you know the formula for volume?

OpenStudy (jazzyluvsu123):

Cube side3 Rectangular Prism side1 × side2 × side3 Sphere (4/3) × pi × radius3 Ellipsoid (4/3) × pi × radius1 × radius2 × radius3 Cylinder pi × radius2 × height Cone (1/3) × pi × radius2 × height Pyramid (1/3) × (base area) × height Torus (1/4) × pi2 × (r1 + r2) × (r1 - r2)2

OpenStudy (jtvatsim):

OK, great, looks like you have a boat load of formulas there! :) The question is which one do you think is used for blocks and boxes?

OpenStudy (jazzyluvsu123):

cube side 3

OpenStudy (jazzyluvsu123):

or rectangular prism side1 x side2 x side3

OpenStudy (jtvatsim):

that's right, it's the second one because the blocks and the box have different size lengths.

OpenStudy (jazzyluvsu123):

kk I can try im so tired right now grrr

OpenStudy (jtvatsim):

yeah, math can put you to sleep even when you're awake! :)

OpenStudy (jazzyluvsu123):

so 3x2x1=6 right !

OpenStudy (jtvatsim):

good, that's the volume of each block

OpenStudy (jtvatsim):

how about for the box?

OpenStudy (jazzyluvsu123):

would I times or divide for the box or same fomula ?

OpenStudy (jtvatsim):

just use the same formula. :)

OpenStudy (jtvatsim):

we're going to divide later on though... so don't get ahead of yourself. :)

OpenStudy (jazzyluvsu123):

18x10x3=540? right

OpenStudy (jazzyluvsu123):

@jtvatsim

OpenStudy (jtvatsim):

yes, that is correct! Alright, we are ready for the final step.

OpenStudy (jtvatsim):

The box can hold 540 "volumes" and each block is 6 "volumes" so you just need to divide to see how many blocks will fit.

OpenStudy (jazzyluvsu123):

divide 540/6 right ?

OpenStudy (jtvatsim):

yep, otherwise you would have a fraction of blocks (and that doesn't make sense) :)

OpenStudy (jazzyluvsu123):

90 is my answer right !!!!

OpenStudy (jtvatsim):

Yahoo! Good job!

OpenStudy (jazzyluvsu123):

thanks cause 9x6=54 so 90x6=540!!

OpenStudy (jtvatsim):

nice math reasoning, don't even need a calculator for that. :)

OpenStudy (jazzyluvsu123):

nope

OpenStudy (jazzyluvsu123):

thans for ur help u earned a medal I have other problems coming up so be ready for more medals ;)

OpenStudy (jtvatsim):

Alright, I'll be on for a bit longer, but if I'm not around, there's plenty of math gurus around here. :)

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