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satela [25.4K]
3 years ago
11

A rectangular prism has a length of 2 1/2 cm, a width of 2 1/2 cm, and a height of 5 cm. Justin has a storage container for the

prism that has a volume of 35 cm³. What is the difference between the volume of the prism and the volume of the storage container?
Mathematics
1 answer:
julsineya [31]3 years ago
6 0
The volume of the prism is 31.25 cm cubed.
Therefore the container has a higher volume.
35 - 31.25 is 3.75.
The difference is 3.75
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gogolik [260]

Answer:

m

∠

N

=

67

∘

,

and

,

m

∠

P

=

113

∘

.

Explanation:

By what is given,  

m

∠

M

+

m

∠

N

=

90

∘

...

...

...

...

...

(

1

)

, and,

m

∠

N

+

m

∠

P

=

180

∘

...

...

...

...

...

...

...

...

.

(

2

)

Since,  

m

∠

M

=

23

∘

, by (1), we get,  

m

∠

N

=

90

∘

−

23

∘

=

67

∘

.

Using this in  

(

2

)

, we get,  

m

∠

P

=

180

∘

−

67

∘

=

113

∘

.

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