20 !

a box in the shape of a rectangular prism, with dimensions 12 inches by 18 inches by 12 inches, can hold exactly 12 cubes measuring 6 inches on each side.

if the length and width of the base are doubled, how many cubes could the new box hold?

a)18
b)24
c)48
d)96

Option B. 48 cubes

Step-by-step explanation:

A box is in the shape of a rectangular prism with dimensions 12×18×12 inches.

Now length and width of the box are doubled. Therefore new dimensions of the new box will be = 24×36×12 inch³= 10368 inch³

Dimensions of the cube = 6×6×6 inches

Therefore volume of the cube = 6×6×6 = 216 inch³

Now number of cubes hold in the new box = Volume of new box ÷ Volume of a cube = 10368 ÷ 216 = 48.

Option C. 48 cubes is the answer.

B. 48

Step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

a

step-by-step explanation:

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