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Ne4ueva [31]
3 years ago
7

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

Mathematics
2 answers:
Alenkasestr [34]3 years ago
6 0

Answer:

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

Scilla [17]3 years ago
4 0

Answer:

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

<u>To find the volume of rectangular prism</u>

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

<u>To find the volume of small cubes</u>

Volume of cube = a³

a = 1/2 cm = 0.5³ = 0.125

<u>To find the number of cubes needed to fill prism</u>

Number of cubes = Volume of prism/  volume of cube

 = 56/0.125 = 448 cubes

Therefore the correct answer is 448 cubes

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