Arectangular prism has dimensions of 1/2, 2, and 7/2 in.
(a)how many cubes with side lengths of 1 in. will fit into the prism? explain.
(b)how many cubes with side lengths of in. will fit into the prism? explain.

Answer with explanation:

Dimension of rectangular prism

Volume of Rectangular Prism ,which will be in the shape of cuboid

where L=Length

B=Breadth

H = Height

(a) Volume of cube of side ,1 inches

Number of cubes with side length of 1 inches will fit into the prism

=3 cubes

(b) If cube has side ,x inches

     Volume of cube of side ,x inches

Number of cubes with side length of x inches will fit into the prism

       Which will be a positive integer≥1

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316