Question

A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 2 1/2cm.

The prism is filled with cubes that have edge lengths of 1/2 cm.



How many cubes are needed to fill the rectangular prism?

Enter your answer in the box.

To fill the rectangular prism,
cubes are needed.

Answer 1

560 cubes

Explanation:

Volume of prism: lwh, 7*4*2.5, 70cm!

Volume of cubes: lwh, 0.5*0.5*0.5, 0.125cm!

70cm/0.125cm=560 cubes.

Answer 2

560 cubes

Explanation:

first solve the volume of the rectangular prism

V = l x w x h

where l is the length

w is the width

h is the height

V = 7 x 4 x 2.5

v = 70 cu cm

then solve the volume of the box

v = e^3

v = 0.5^3

v = 0.125

number of cubes = 70 / 0.125

number of cubes = 560 cubes