Mathematics: Jay wants to make a box, with no lid (or top), out of a 10 x 6 rectangular piece of cardboard. if jay cuts squares with dimensions x by x out of each corner of the cardboard, and then folds up the corners to make an open box, find a function that represents: (a) the volume of the box. (b) the surface area of the box.

Jay wants to make a box, with no lid (or top), out

Ответ:

jfy3341

12.01.2022

Mathematics

a. V(x)=x(10-2x)(6-2x)

b. S(x)=4(15-x^2)

Step-by-step explanation:

Dimensions of rectangular piece of cardboard= $10\times 6$

According to question

Length of box,l=10-2x

Breadth of box,b=6-2x

Height of box,h=x

Volume of box= $l\times b\times h$

Substitute the values in the formula

Volume of box= x(10-2x)(6-2x)

V(x)=x(10-2x)(6-2x)

b.Surface area of box= 2(b+l)h+lb

Because the box has no lid

Substitute the values in the formula

Surface area of box= 2(10-2x+6-2x)x+(10-2x)(6-2x)

Surface area of box= 2(16-4x)x+60-20x-12x+4x^2

Surface area of box= 32x-8x^2+60-32x+4x^2

Surface area of box= 60-4x^2=4(15-x^2)

Surface area of box, S(x)= 4(15-x^2)

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Ответ:

Quickshotgirl

22.04.2020

Mathematics

TRUE

Step-by-step explanation: THE COMPOUD STATE MEN DETERMEND BY HE GRAPH IS THE SOLUTION AS SAID BY YOU IT IS TRUE BECAUSE THE READINGS ON THE GRAPH SHOW ITS TRUE

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