Mr. Nelson has a rectangular flower box that is 5 feet long and 2 feet tall. She wants the width of the box to be no more than 5 feet. If the width is a whole number, what are the possible volumes for the flower box?
Idk if this is right, but w= 1, 2, 3, 4, 5, and v= 25w which is 10 w so it's 10, 20, 30, 40, 50
w is 1,2,3,4,5
v = 2*5*w = 10w, so possible values are 10,20,30,40,50
Please explain
To find the possible volumes of the flower box, we need to consider the given dimensions and conditions.
Given information:
Length = 5 feet
Height = 2 feet
Maximum width = 5 feet
To find the volume of the box, we multiply the length, width, and height together: Volume = Length x Width x Height.
Since the height is fixed at 2 feet, we only need to vary the width while keeping it less than or equal to 5 feet.
Let's calculate the volumes for different width values within the given conditions:
Width = 1 foot
Volume = 5 feet x 1 foot x 2 feet = 10 cubic feet
Width = 2 feet
Volume = 5 feet x 2 feet x 2 feet = 20 cubic feet
Width = 3 feet
Volume = 5 feet x 3 feet x 2 feet = 30 cubic feet
Width = 4 feet
Volume = 5 feet x 4 feet x 2 feet = 40 cubic feet
Width = 5 feet
Volume = 5 feet x 5 feet x 2 feet = 50 cubic feet
Therefore, the possible volumes for the flower box, given the conditions, are: 10 cubic feet, 20 cubic feet, 30 cubic feet, 40 cubic feet, and 50 cubic feet.