Question

You want to construct an open-top box that is 6 inches deep, with a square base. it must have a volume of 846 cubic inches. you have one big piece of cardboard. you will start by cutting it down to a square, and then you will cut smaller squares out of each corner and fold up the sides. Which statement are correct?

Answer 1

You want to construct an open-top box that is 6 inches deep, with a square base. it must have a volume of 864 cubic inches. you have one big piece of cardboard. you will start by cutting it down to a square, and then you will cut smaller squares out of each corner and fold up the sides. Which statement are correct?​

Verify each statement

statement A

Its true

statement B

Its false

statement C

Its false

statement D

is false

statement E

Is true

Because

V=6x^2

the height is 6 in

the length of the square base is x

so

V=6x^2

864=6x^2

x^2=144

x=12 in

the length side of the square base is 12 inches

therefore

Option E