A planter in the shape of a cube has a volume of 1000in3 is the area of the base of the cube greater than or less than 1 square foot?explain
The cube volume is 10x10x10 inch3, so the base area is 10 inch x10 inch. On the other hand, we know that 1 square foot = 1 foot x 1 foot = 12 inch x 12 inch, so that is *greater* than the cube base.
Answer:
area of the base of the cube is smaller than 1 square foot
Step-by-step explanation:
since the volume of the cube is 1000 in^3 then its side must be (1000)^{1/3}
which is equal to 10 in
now, we know that area of the base of the cube will have an square cross section area= side^2
there area of base of the cube = 10^2= 100 sq in
now 1 foot= 12 in
therefore, 1 square foot = 12*12 square in = 144 sq in
clearly, area of the base of the cube is smaller than 1 square foot.
hope you liked the explanation.