Ask Question
27 September, 20:23

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

C

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

How many cubes are needed to fill the rectangular prism?

+1
Answers (2)
  1. 27 September, 20:49
    0
    Step-by-step 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
  2. 27 September, 20:50
    0
    The number of cubes are needed to fill the rectangular prism = 448 cubes

    Step-by-step explanation:

    It is given that,

    A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 2 cm. The prism is filled with cubes that have edge lengths of 1/2 cm

    To find the volume of rectangular prism

    Volume of rectangular prism = Length x Width X Height

    Length = 7 cm, Width = 4 cm and height = 2cm

    Volume = 7 x 4 x 2 = 56 cm³

    To find the volume of small cubes

    Volume of cube = a³

    a = 1/2 cm = 0.5³ = 0.125

    To find the number of cubes needed to fill prism

    Number of cubes = Volume of prism / volume of cube

    = 56/0.125 = 448 cubes

    Therefore the correct answer is 448 cubes
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 2 C The prism is filled with cubes that have edge lengths of 1/2 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers