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3 years ago

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

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

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Find the value of a and of b for which (a) the solution of x2 + ax -2<x < 4

KengaRu [80]

Answer: $a = -2$

$b = 8$

Step-by-step explanation:

Given :

$x^{2} +ax$

re - writing the equation , we have

$x^{2} +ax-b$

we need to find the value of a and b for which -2<x < 4 , this means that the roots of the quadratic equation are -2<x < 4.

The formula for finding the quadratic equation when the roots are known is :

$x^{2}$ - sum of roots(x) + product of root = 0

sum of roots = -2 + 4 = 2

product of roots = -2 x 4 = -8

substituting into the formula , we have:

$x^{2} -2x-8=0$ , which could be written in inequality form as

$x^{2} -2x-8$

comparing with $x^{2} +ax-b$ , it means that :

$a = -2$

$b = 8$

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3 years ago

What is bigger . 17 or . 165 meters? And why?

Vadim26 [7]

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3 years ago

What does it mean when a number is out of the parenthesis? Example 3($28+$32)-$10=

777dan777 [17]

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Tpy6a [65]

Answer:

If this is correct, can you mark me as Brainliest Please :)

Step-by-step explanation: